pbnitttrbpl.ac.in/conference/book_abstract.pdf · 2020. 11. 10. · pb key note name affiliation...

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International Conference On

RECENT TRENDS IN ANALYSIS AND OPTIMIZATION

ICRTAO-202009th - 11th NOVEMBER, 2020

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Key Note

Name Affiliation Title

MONDAY

KEY NOTE 1 Dr. S. Arumugam

Amrita Vishwa Vidyapeetham, Coimbatore FRACTIONAL GRAPH THEORY.

KEY NOTE 2 Prof. P. Veeramani IIT, Chennai

Tuesday

KEY NOTE 1 Prof. Scott B Lindstrom

The Hong Kong Polytechnic UniversityHung Hom, Hong Kong

Computable Centering Methods for Spiraling Algorithms and their Duals, with Motivations from the Theory of Lyapunov Functions

KEY NOTE 2 Prof. Vasile BERINDE

North University Center at Baia MareTechnical University of Cluj-NapocaVictoriei 76, 430122 Baia Mare Romania

Wednesday

KEY NOTE 1 Prof. J.K. Kim

A parallel iterative method for a finite family of Bregman strongly nonexpansive operators in Baanach space

KEY NOTE 2 Prof. C. Thangaraj Director NITTTR Bhopal

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Invited TalkS. No Code Name Affiliation Title

MONDAY

1 M-IT01Prof. D.R. Sahu IIT BHU, Banaras

Accelerated Computational Methods For Quasi-Nonexpansive Operators With Applications

2 M-IT02 Prof. Pankaj Jain

South Asian University, New Delhi

Boundedness Of Hausdorf Operators In Lebesgue Spaces

3 M-IT03 Prof. V.P. Saxena

Ex Vice Chancellor, Jiwaji University, Gwalior

Analytical Solution of Mixed Boundary Value Problems And Saxena’s I-Functions

4 M - IT04 Prof. G.V.R Babu

Professor, Dept. of Mathematics, Andhra University, Visakhapatnam

Convergence, Comparison of Rate of Convergence and Data Dependence Of Certain Iteration Procedures For Contractive Like Operators

5 M –IT05 Prof. H.K. Nashine VIT, Vellore

Magnitude of Diverse Form of Contraction Mapping And Metric Space, And Its Relevance

6 M –IT06 Dr. Yumnma Rohen NIT, Manipur Fixed Point And Generalisations of

Α-Admissible Mappings

Tuesday

7 T-IT01 Dr. Javid AliAsst. Professor, Dept. of Mathematics, Aligarh Muslim University

Some Observations On Generalized Non-Expansive Mappings And Convergence Results

8 T-IT02 Prof. M.A. Pathan

Ex-Chairman Dept. of Mathematics, Aligarh Muslim University

On Generalization Of Taylor’s Series, Riemann Zeta Functions And Lidstone Polynomials

9 T-IT03A Dr. Anil Rajput Govt. CSA College, Sehore

New Developments in Fixed Point Theory

10 T-IT03 Prof. Anita Tomar

Dept. of Mathematics, Govt. Degree College, Thatyur, Garhwal

Contractive Definition, Discontinuity At Fixed Point And Applications

11 T-IT04 Dr. B. S. Thakur

Professor, Dept. of Mathematics, Pt. Ravishankar Shukl University, Raipur

Reckoning Of Fixed Point Using Averaging Iterations: Empirical Observations

12 T-IT05Prof. Anurag Jaiswal

Associate Professor, Dept. of Mathematics , IIT (ISM) Dhanbad

Vector Variational Inequalities On Hadmard Manifold Involving Strongly Geodesic Convex Functions

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Wednesday

13 W-IT01 Prof. J.P. Jaiswal

Associate Professor, Dept. of Mathematics, Guru Ghasidas Central University, Bilaspur, CG

On The Semilocal Convergence Of A Fifth-Order Scheme In Banach Spaces Under Weak Continuity Condition & Its Computational Efficiency

14 Deepak Singh

Associate Professor, Dept. of Applied Sciences, NITTTR, Bhopal

Generalized Contractions and its Applications

15 W-IT02 Prof. S.K. Gupta

Associate Professor, Dept. of Mathematics , IIT Roorkee

On multiobjective fractional interval valued optimization problems

16 W-IT02A Dr Rajinder Sharma

CR Department, University of Technology And Applied Sciences, SOHAR, OMAN

17 W-IT03Prof. Mehadi Asadi

Associate Professor, Dept. of Mathematics, Zanjan, Iran

New-Convex Structure On Branciari Metric Space

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Oral presentationS.

No.Presentation

codeName of the

Presenter Affiliation Title Of Talk Page no.

1 M-S101 Abid KhanAmity University Gwalior

Fixed Point Results In Compact Metric Spaces 01

2 M-S102 Ajay Kumar

Pt. Ravishankar Shukla UniversityRaipur (C.G.)

Viscosity Approximation Methods For TheImplicit Double Midpoint Rule Of Non-ExpansiveMappings In CAT(0) Spaces

01

3 M-S103 Amin Ahmed MANIT, BhopalSome New Results On Coupled Fixed Point Theorems In Menger Spaces

02

4 M-S104 Amit Kumar Singh

Banaras Hindu University, Varanasi

New Inertial Extragradient-Like Algorithms For Common Solution Of Variational Inequality And System Of Variational Inequalities Problems

02

5 M-S105 Babita Pandey

SRK University, Bhopal

Cone Metrics Space And Common Fixed Point Theorems Of Contractive Maps

03

6 M-S106 Dilip Kumar Gupta

People’s University, Bhopal

A Common Fixed Point Theorem In Non-Archimedean Menger PM-Space Under Reciprocal Continuity For Family Of Self Mappings

03

7 M-S201 Babli KumariIIT(ISM) Dhanbad, Jharkhand

Efficiency And Duality For Vector OptimizationProblem On Riemannian Manifolds Involving KT-B-Invexity

04

8 M-S202 Darsha Panwar

Portfolio Optimization and Post-Optimality Test 04

9 M-S203 Harsha Atre SAGE University Indore

Karush Kuhn-Tucker Optimality Condition And Wolfe Duality For Invex Multiobjective Programming Problem With Interval-Valued Function

05

10 M-S204 Hiranmoy Das

ICAR IISS, Bhopal

New Sets Of D-Optimal Experimental Designs With One-Way And Two-Way Classified Intercepts For Covariate Models”.

05

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S. No.

Presentation code

Name of the Presenter Affiliation Title Of Talk Page

no.

11 M-S205 S. Tabssum

Indian Institute of Technology (Indian School of Mines) Dhanbad

Effect Of Bottom Topography On Wave Scattering By Multiple Porous Barriers

06

12 M-S206 Sunil Kumar Mittal MANIT, Bhopal

Mean-Variance-Skewness Model For Portfolio Optimization In The Uncertain Environment

07

13 M-S301 Showkat Ahmad Bhat

DR. A.P.J. Abdul Kalam University, Indore

Solving The Decision Making Problem Using Fuzzy Logic 07

14 M-S302 Sandhyatai Kadam

Dr. D. Y. Patil Institute of engineering and technology, Pimpari, Pune

On Adomian’s Decomposition Method For Solving Impulsive Nonlinear Problems

08

15 M-S303 Varsha Chouhan

Bhopal School of Social Sciences, Bhopal

Fixed Point Results With Triangular -Orbital Admissible Mapping On Branciari B-Metric Space

08

16 M-S304 Vishal Joshi

Jabalpur Engineering college, Jabalpur

Existence Of Common Fixed Point In Complex Valued Fuzzy Metric Space With Applications

09

17 M-S306 T R Raghuwanshi

UIT, RGPV Bhopal

On Projective Semi- Symmetric Non-Metric Connection On Quasi Einstein Manifold

09

18 M-S401 C.P. DhuriGuru Ghasidas University, Bilashpur

A Fixed Point Theorem In Bipolar Metric Space 10

19 M-S402 Dipti Thakur

Pt. Ravishankar Shukla University Raipur

New Iteration Process For Total Asymptotically Nonexpansive Mappings In CAT(0) Spaces

10

20 M-S403 Ekta Tamrakar

Pt. Ravishankar Shukla University Raipur,C.G.,

Some Coincidence And Common _Xed PointResults Under Edge-Theoretic F-Contraction In Complete Metric Space

11

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S. No.

Presentation code


no.

21 M-S404 Meena JoshiS.G.R.R. (P.G.) College Dehradun

Existence Of Fixed Point In B_Metric Like Spaces Under Relation Theoretic Contractions And Its Applications

11

22 M-S501 Alka Singh

People’s University, Bhanpur, Bhopal

In Vitro Experiments To Observe Competitive Serum Albumin Binding Of Amlodipine With Losartan And Its Active Metabolite EXP-1734 When Studied Contemporarily

12

23 M-S502 Animesh Biswas

University of Kalyani, Kalyani W.B.

Selection Of Photovoltaic Solar Panel Using Pythagorean Fuzzy Technique For Order Preference By Similarity To Ideal Solution

13

24 M-S503 Anu Mangal UIT-RGPV, Bhopal Big Data Analytics Tools: A Review 13

25 M-S504 Ashish Pradhan

Sikkim Manipal Institute of Technology, Majitar, East Sikkim,

Multi-Layer Neural Network Based Parsing With Morphological Features For Projective Sentences

14

26 M-S602 Manoj Kumar_2

ICAR-Central Institute of Agricultural Engineering, Bhopal

Estimating The Technical Efficiency, Input Excess And Output Shortfall Of Farm Machinery Manufacturers Using Slacks-Based Data Envelopment Analysis

14

27 M-S603 Shyamali Dewan

Bhairab Ganguly College, Kolkata

Normality Criteria Of A Family Of Zero-Free Meromorphic Functions

15

28 M-S604 Uma-shankar Singh

Sagar Institute of Research & Technology, Bhopal

A Related Fixed Point Theorem Of Rational Type On Complete Metric Spaces

15

29 T-S102 Mudasir Younis

UIT- (RGPV), Bhopal

Variants Of Contractions In Graphical Metric Spaces With Applications

16

30 T-S103 Sharad Kumar Barve

J. H. Govt. P. G. College, Betul

Weakly Compatible Mapping Satisfying (E.A) - Property In B-Metric Space

16

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S. No.

Presentation code


no.

31 T-S104 K. Anthony Singh

D.M. College of Science, Imphal (Manipur)

Cone Ab-Metric Space And Some Related Fixed Point Theorems 17

32 T-S201 Mayank Ramnani

Indian Institute of Management, Indore

Business Analytics And Optimization In Supply Chain Management: A Review

17

33 T-S202 Nidhi Bhandari

SGSITS, 23, Park Road, Indore

Improved Document Retrieval Technique Using Optimization Of User Query

18

34 T-S204 Gopal Meena Jabalpur Engineering College Jabalpur

Existence Of The Solution For Global Optimization Problems 18

35 T-S301 Mayank Sharma LNCT, Bhopal Fuzzy Metrics And Their

Application In Computer Vision 19

36 T-S301A Shadab Pasha

Oriental Institute of Science & Technology, Bhopal

Impact Of Data Modelling In Business Analytics 19

37 T-S302 A. Padma

Chaitanya Bharathi Institute Of Technology, Hyderabad

Simulation Mappings And Fixed-Point Theorems Under S-Metric Space

20

38 T-S302A Uday DolasChandra Shekhar Azad Govt. P. G. College, Sehore

Common Fixed Point Theorems Using Compatible Maps In D-Metric Spaces Over Topological Semi Field

20

39 T-S303 Preeti Sengar SGSITS Indore (M.P.)

Common Fixed Point Theorems In Complex Valued Metric Space Using Implicit Relation

21

40 T-S303A Sneha SoniRNTU University, Bhopal

Performance Analysis Of Crypto-Stego Algorithms For Multimedia Data Security: Survey

21

41 T-S304 Manish Sharma

Sant Hirdaram Girls College,Bhopal

Some Common Fixed Point Theorem Using Faintly Compatible Maps In Modified Intuitionistic Probabilistic Metric Space With Common Property (E.A.)

22

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S. No.

Presentation code


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42 T-S304AVirendra Singh Chouhan

Manipal University Jaipur

Some Coupled Fixed Point Theorems UsingNonlinear Contractive Mappings

22

43 T-S305SABIYA KHATOON

Jamia Millia Islamia New Delhi

Convergence Analysis Of An Iteration Involving TwoG-Nonexpansive Map

23

44 T-S306 Sonika Raghuvanshi RGPV Bhopal Fixed Point Results In Complete

Metric Spaces 23

45 T-S307 Varsha Mandwariya

Sant Hirdaram Girls College, Bhopal

Some Common Fixed Point Theorem Using Faintly Compatible Maps In Modified Intuitionistic Probabilistic Metric Space With Common Property (E.A.)

24

46 T-S308 Madhu Singh VNS College, Bhopal

Results On Cyclic Best Proximity Point Theorems 24

47 T-S309 Bhawana Bhatt

Bhagat Singh PG College, Jaora

A Study Of E-Convex Sets And E-Convex Functions With Reference To Convex Soft Sets

25

48 T-S310 Indrayani Yuraj Sutar

Dr. D.Y. Patil Institute of Technology, Pimpri, Pune

Applications Of Corrected Quadrature Rule For Singular Integrals

25

49 T-S311 Uday SinghRani Durgavati University, Jabalpur

A Numerical Solution For The Heat Equations Using Trigonometric Cubic B-Spline

26

50 T-S401 Imran Ali

Aligarh Muslim University, Aligarh

Set-Valued Variational Inclusion Problem With Fuzzy Mappings Involving XOR-Operation

26

51 T-S402Jagdish Kumar Pahade

MANIT, Bhopal

Credibilistic Semi-Variance Of Trapezoidal Fuzzy Variable And Its Application To Select Portfolios In Fuzzy Environment

27

52 T-S403 SACHIN DEV KUSHWAHA

IES Group of Institutions, M.P.

Fixed Points Of Expansive Mappings In _-Metric Space 27

53 T-S404 Vizender Sihag

Guru Jambheshwar University of Science & Technology, Hisar

Fixed Point Theorems For F*- Contraction In Fuzzy Metric Spaces 28

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S. No.

Presentation code


no.

54 T-S405 Vijay .C. Makwana

Govt. Engineering College, Patan, Gujarat

“Fuzzy Number– A New Hypothesis And Its Algebra” 28

55 T-S406 Vijay. P. Soni

Govt. Engineering College, Patan, Gujarat

Fuzzy Additive Group And Fuzzy Multiplicative Group 29

56 T-S407 Prem Pratap Singh

Govt. PG Nodal College Sehore, M.P.

Common Fixed Point Theorem In Fuzzy Random Space 29

57 T-S408 Ramakant Sharma

Bansal College of Engineering, Mandideep,

An Application Of Fuzzy Lipschitz Maps For Nonlinear Contractions In Kaleva–Seikkala’s Type Fuzzy Metric Spaces

30

58 T-S409 BhanupriyaBarkatullah University, Bhopal

Study Of Day To Day Variation Of M(3000)F2 At Low Latitude Station

30

59 T-S411 Pravin Baradol

SVNIT, Surat, India

Discussion On Graphical Rectangular Metric Space And Fixed Point Results

31

60 T-S501 Krishna Singh Rajput

LNCT University Bhopal.

Mathematical Modeling Of Solar Chimney For Air Ventilation In A Room Using Passive Ventilation Method

31

61 T-S502 Leena Sharma

Ujjain Engineering College, Ujjain

On The Minimum Eigenvalue Of The Fan Product Of M-Matrices 32

62 T-S503 Lokendra Gour

AKS University, Satna (M.P.)

Optimizing Distributed Computing In The Context Of Deep Learning

32

63 T-S505 Mahesh Parwani

Barkatullah University, Bhopal

Patterns Of Ionospheric TEC Variations And Its Synchronization With Solar Activity Indices During Solar Maxima And Minima Phases

33

64 T-S506 ManishaIndian Institute of Technology, Kharagpur

Effect Of Bottom Undulation For Mitigating Wave-Induced Forces On A Floating Bridge

34

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Presentation code


no.

65 T-S507 Om Prakash Chauhan

Jabalpur Engineering College, Jabalpur

Generalized Contractive Condition And Fixed Point Results In Complex Valued Fuzzy Metric Spaces

35

66 T-S508 Neha Gupta MANIT, Bhopal

On The Local Convergence Analysis Of Homeier’s-Like Method In Banach Spaces Under Ω-Continuity Condition

35

67 T-S509 Bhupendra Malvi

Barkatullah University, Bhopal

Comprehensive Analysis Of High-Mid And Low Latitude Of Ionosphere During The Geomagnetic Storms In January 2005

36

68 T-S510 Sourav Shil

Vellore Institute of Technology, Vellore, Tamilnadu

Iterative Methods For Solving Non LinearMatrix Equations And Convergence Analysis

36

69 T-S511 Anil BadalBarkatullah University, Bhopal

Application Of Convergent Sequences To Fixed Point Theorems In Complex Valued Metric Space.

37

70 W-S101 Manoj Kumar

Pt. Ravishankar Shukla University Raipur

A New Three Step Iteration Process For The ApproximationOf Fixed Points.

37

71 W-S102Jamkhongam Touthang

Delhi Technological University, Bawana Road,

Theory Of Frames In Signal Processing 38

72 W-S104 Jaya BhandariMandsaur University, Mandsaur, India

Generalized Identities Involving Common Factors Of Bivariate Fibonacci And Bivariate Lucas Polynomials

38

73 W-S105 Dinesh Kumar Verma

Govt. P.G. College, Seoni, Jabalpur (M.P.)

Stability Analysis Of Prey Predator Model With Harvesting 39

74 W-S106 Pinky Rathore SIRTE, Bhopal

Early Reviewer Prediction Of E-Commerce Website Through Classic Rogue Bell Curve Technique

39

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S. No.

Presentation code


no.

75 W-S107 Rafi AhmadBarkatullah University, Bhopal

Analysis Of Geomagnetic Storm Effects On The Ionospheric F Layer Over Northern And Southern Hemisphere

40

76 W-S108 Sajan Aggarwal

Jamia Millia Islamia, New Delhi

Common Fixed Point Of A Non-Lipschitzian Semigroup In A Nonlinear Space With Graph

40

77 W-S201 Mona VermaGovt. PG College, Narsinghgarh

TITLE-Semi-Local Convergence Analysis Of Sixth Order Method Under H’Lder Continuity Condition.

41

78 W-S202 Chitra Singh

Ravindranath Tegore University, Bhopal

Applications Of Improper Integrals In Fourier Transform 41

79 W-S203 Praveen Kumar


On Slack 2-Geodesic Convex Sets AndGeodesic E-Pseudoconvex Functions

42

80 W-S204 Mohammad Iliyas


Weighted Lupas Post Quantum Bezier Curves 42

81 W-S205 Nisha BarleyGovt.Naveen Girls Gollege Raipur,C.G

Results On Artificial Intelligence-Based Fault Diagnosis Of Power Transformer

43

82 W-S206 Nishi Gupta R.D. University, Jabalpur, M.P.

Geometric Characterization Of Cubic TB Curve With Four Parameters

43

83 W-S207 Satyendra Kumar Jain

St. Aloysius College, Jabalpur

Housdroff θ-Contraction In Partially Ordered Complete Metric Space And Its Application

44

84 W-S208 Rani Sahu

Maulana Azad National Institute of Technology, Bhopal,

Mathematical Formulation Of Energy Efficient Routing In Zone Based MobileAd-Hoc Network

44

85 W-S301 Sangeeta Lenka

ICAR-Indian Institute of Soil Science, Nabibagh

Geospatial Analysis Of Soil Properties In Croplands Of Climatically Vulnerable District Rajgarh Of Madhya Pradesh

45

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no.

86 W-S302 Manoj Joshi

Maharaja Ranjit Singh College of Professional Sciences, Indore

Preservers Of Gershgorin Of Jordan Product Of nn× - Matrices 46

87 W-S304 Poornima Tiwari

Sant Hirdaram Girls College, Bhopal

Incomplete’ Pál Type Interpolation On Zeros Of Polynomials With Complex Coefficients

46

88 W-S307 Avni Sharma DAVV, Indore Theory And Analysis Of Bi-Period Undulator Radiation 47

89 W-S308 Roma KhullarGovt. College, Khategaon, Dewas

Theory And Analysis Of Inverse Electron Cyclotron Resonance Maser Accelerator

47

1

ABSTRACTS

M-S101Fixed Point Results In Compact Metric Spaces

Abid Khan1, Deepti Shakti2, Ramakant Bhardwaj3

1,2- Department of Mathematics, AMITY University M.P. (Gwalior)3- Department of Mathematics, AMITY University Kolkata (W.B.) India.

Corresponding Author Email: [email protected]

Abstract Fixed point theory plays an important role in pure mathematics as well as in applied mathematics. In the present paper some fixed point and common fixed-point results are obtained for rational contraction in Compact metric spaces. The obtained results generalized the basic results of fixed -point theory.

Keywords: Fixed point, common fixed point, Compact -metric spaces

M-S102Viscosity Approximation Methods For The Implicit Double Midpoint

Rule Of Nonexpansive Mappings In Cat(0) SpacesAjay Kumar

School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010 India

Abstract The aim of this paper is to de_ne the implicit double midpoint rule of nonexpansive mappings in CAT(0) spaces and prove some strong convergence results under certainconditions. Also, shown that the limit of the sequence generated by the implicit double midpoint rule solves variational inequality problem. As an application, we obtain a solution of nonlinear integral equation of Volterra type.2010 Mathematics Subject Classi_cation: 47H09, 47J25.

Keywords: Nonexpansive mappings, contraction mappings, viscocity, implicit midpoint rule, variational inequality problem, fixed point, CAT(0) space.

2

ABSTRACTS

M-S103Some new results on Coupled Fixed Point Theorems in Menger

SpacesAmin Ahmed

Dept. of mathematics Bio-informatics and Computer Application, Moulana Azad National Institute of

Technology, Bhopal (M.P.)

Abstract In the present work, we present some coupled fixed point results invoking the common E.A. property, CLRS and CLRST property in the framework of Menger-spaces. Some novel examples are propounded to validate the established results. Our results generalize and extend a multitude of results in the existing state-of-art. At the end some open problems are also discussed for the future scope of the study. AMS Mathematics subject classification 2000 : 54H25; 47H10:

Keywords: Menger spaces, Weakly compatible mappings, t-norm, CLRS Property and CLRST Property.

M-S104New Inertial Extragradient-Like Algorithms For Common Solution

Of Variational Inequality And System Of Variational Inequalities Problems

Amit Kumar Singh (with D. R. Sahu)

Research Scholar, Department of Mathematics,Institute of Science, Banaras Hindu University, Varanasi, India

Abstract The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear variational inequalities problems (SNVI) for two strongly monotone operators. We describe how to incorporate the extragradient like technique based on altering points technique with inertial effects. A weak convergence theorem is established for the proposed algorithm. Numerical examples are performed to illustrate the numerical effciency of the algorithm and compare with other algorithms.

Keywords: Monotone mapping, Extragradient method, Altering points,System of variational inequality.

3

ABSTRACTS

M-S105Cone Metrics Space And Common Fixed Point Theorems Of

Contractive MapsBabita Pandey1, Amit Pandey2, Ramakant Bhardwaj2

1- Department of Mathematics ,SRK University Bhopal(M.P)2- Department of Mathematics, AMITY University Kolkata (W.B)

Email:[email protected]

Abstract In the present paper the concept of cone metrics space is extended for rational function. Some fixed point and common fixed-point results are established in cone metric space.

Keywords: Fixed point, common fixed point, cone metrics space

M-S106A Common fixed point Theorem in Non-Archimedean Menger

PM-space under reciprocal continuity for family of self mappings Problems

Dilip Kumar Gupta1, Naval singh2

1 - Department of Mathematics , People’s College of Research & Technology Bhopal (M.P.) India 2- Department of Mathematics ,Govt. Science & Commerce College , Benazeer Bhopal (M.P.) India

E Mail: [email protected]

Abstract In this present paper, we prove some common fixed point theorems for weakly compatible mappings in Non-Archimedean Menger PM-space using the notion of semi-compatibility maps and reciprocally continuity for family of self mappings. Our results improve and extend several known results existing in the literature and generalizes fixed point theorems in the sense that all maps involved in thetheorem can be discontinuous even at the common fixed point

Keywords: Non-Archimedean Menger PM-space, weakly compatible mappings, semi-compatibility maps and reciprocally continuity, Common fixed point .

4

ABSTRACTS

M-S201Efficiency And Duality For Vector Optimization Problem On

Riemannian Manifolds Involving KT-B-InvexityBabli Kumari1, Anurag Jayswal2

1- Department of Mathematics & Computing, Indian Institute of Technology2- (Indian School of Mines), Dhanbad-826004, Jharkhand, India

E-mail : [email protected]

Abstract In this paper, we consider a vector optimization problem on Riemannian manifolds for which we define KT-B-invex and KT-B-pseudoinvex functions. Further, we prove that every vector Kuhn-Tucker point is a weak efficient solution for considered vector optimization problem under the suitable assumptions. Moreover, we also study the Mond-Weir dual problem for the aforesaid problem and establish its weak, strong and converse duality results.

M-S202Portfolio Optimization And Post-Optimality Test

Darsha Panwar1, Namita Srivastava2

1- Department of Mathematics, Sagar Institute of Research Technology, Bhopal (M.P.), India2- Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal (M.P.), India

E-mail:[email protected]

Abstract In portfolio selection, the aim is to obtain a proper proportion of assets such that the investor gets maximum return and minimum risk. In a practical portfolio planning process, the investment decision to be taken by an investor is not simple and is influenced by several other parameters such as investors topology, clustering and different factors of stock. In this article, a hybrid approach for asset allocation is proposed with multiple methodologies like investor topology, cluster analysis, analytical hierarchy process (AHP) for ranking the assets and portfolio selection by teaching-learning based optimization (TLBO)with five objectives- return, risk, liquidity, dividend and AHP weighted score. TLBO is a population based algorithm.Population size and number of generations these are two common controlling parameters that are required to work for TLBO. Apart from this, post-optimality test is also applied to check the efficiency of TLBO and the result will also improve.

Keywords: Investor topology; cluster analysis; AHP; TLBO algorithm; Portfolio optimization.

5

ABSTRACTS

M-S203Karush Kuhn-Tucker Optimality Condition and Wolfe Duality for Invex Multiobjective Programming Problem with Interval-Valued

functionHarsha Atre

SAGE University, Indore [MP]

E-mail: [email protected]

Abstract Wolfe Duality theorems in multiobjective interval-valued programming problem are extracted in this paper. Using the concept of invexity the Karush Kuhn-Tucker optimality sufficient and necessary condition for multiobjective interval-valued nonlinear programming problem are extracted and also inaugurate the concept of having no duality gap in week and strong sense. Also we dilated the strong duality theorem in weak and strong sense for multiobjective interval-valued programming problem.

Keywords: Karush Kuhn-Tucker optimality condition, Wolfe primal and dual theorem, Weak and strong duality theorem.

M-S204New Sets Of D-Optimal Experimental Designs With One-Way And

Two-Way Classified Intercepts For Covariate ModelsHiranmoy Das1, Anurup Majumder2, Pradip Dey1 and Ashok Kumar Patra1

1-ICAR-Indian Institute of Soil Science, Bhopal (MP), India2 - Bidhan Chandra Krishi Viswavidyalaya, Nadia (WB), India

Email: [email protected]

Abstract The study of optimal design for covariate models in CRD set-up was initiated by Troya (1982a, 1982b). Das et. al. (2003) followed up the study and extended for RBD set-up. Das et. al. (2015) published a book on ‘Optimal Covariate Designs’. In this study, one new set of D-optimal covariate designs in Experimental Design with One-way Classified Intercept Model (CRD) set-up and two new sets of D-optimal covariate designs in Experimental Design with Two-way Classified Intercept Model (RBD) set-up have been developed. The methods of constructions of D- optimal covariate designs are developed with the help of a new matrix viz., Special Array (as defined). The existence of Hv and Hb-1 can develop c=(v-1) number of D-optimal covariates in CRD and RBD set-ups with the treatment number v for any odd number of replications or blocks, b. If Hv and Hb-r exists, then c=(v-1) D-optimal covariates will exist in a RBD set up with v number of treatments for b odd number of blocks provided r (> 1) is a odd number and Hr-1 exist, where r is the number of rows and columns in the Special Array with all elements zero. The developed D-optimal covariate designs are not available in the existing literature.Keywords: Covariate Model, Hadamard Matrix, D-Optimality, Kronecker Product and Hadamard Product.

6

ABSTRACTS

M-S205Effect Of Bottom Topography On Wave Scattering By Multiple Porous

BarriersS. Tabssum1, R. B. Kaligatla1, T. Sahoo2

1 - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines) Dhanbad2 - Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur


Abstract Scattering of obliquely incident surface gravity waves by multiple porous barriers is studied in the presence of step type varying bottom topography. The bottom bed consists of a finite interval of uneven geometry which is connected by two semi-infinite intervals of uniform water depths. An array of porous barriers is located on water of uniform depth on the lee side of bottom variations. Using small amplitude wave theory and Darcy’s law for flow past porous structure, the physical problem is converted into a boundary value problem which is handled for solution using coupled eigenfunction expansion in uniform bottom regions and modified mild-slope equation in varying bottom region. Further, certain jump conditions are used for the conservation of mass flux at slope discontinuities in bottom profile. To understand the effect of variations in bottom topography on wave scattering by multiple porous barriers, physical quantities such as reflection and transmission coefficients, wave forces on the barriers are computed and analyzed for different values of depth ratio, varying bottom parameter, porous-effect parameter, incident wave angle, spacing between the barriers and slope length of varying bottom. In the presence of ripple bottom bed, effect of multiple porous barriers on Bragg scattering is analyzed. Certain drift in Bragg reflection is noticed due to propagation of oblique incident waves over step type ripple beds

7

ABSTRACTS

M-S206Mean-Variance-Skewness Model For Portfolio Optimization In The

Uncertain EnvironmentSunil Kumar Mittal1, Namita Srivastava2

Department of mathematics, Maulana Azad National Institute of Technology, Bhopal, India


Abstract In today’s economic environment randomness alone is not sufficient for determining the stock’s future performance, therefore experts’ knowledge plays the key role in successful investment strategies. In this paper a portfolio optimization problem is discussed in an uncertain environment in which stock returns are considered as a zigzag uncertain variable, since stock returns cannot be well reflected by historical data. The parameters of zigzag uncertain variable are evaluated by experts. A mean-variance-skewness model is developed in uncertain environment using uncertain programming to optimize the portfolio within the framework of uncertainty theory. Some real-world constraints like cardinality and bounding are also embedded in it. An uncertain goal programming approach is used to obtain efficient investment strategies in an indeterminacy economic environment. Finally, a real-world example with the data set, collected from BSE India website, is presented to demonstrate the feasibility of the proposed model and the efficacy of solution approach.

Keywords: Portfolio, Zigzag uncertain variable, Skewness, Uncertain goal programming

M-S301Solving The Decision Making Problem Using Fuzzy Logic

Rakesh Kumar Tripathi, Showkat Ahmad Bhat

DR. A.P.J. Abdul Kalam University, Indore

Abstract Fuzzy analysis represents a method for solving problems which are related to uncertainty and vagueness; it has applications in decision making problems. We are all faced in our daily life with varieties of alternative actions available to us and at least in some instances, we have to decide which of the available actions to take. The field of decision making is the most fruitful and interesting area of application of fuzzy set theory. In this paper procedures are presented for fuzzy decision model.

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M-S302On Adomian’s Decomposition Method for Solving Impulsive

Nonlinear ProblemsSandhyatai Kadam1, Radhika Menon2

Department of Mathematics, Dr. D. Y. Patil Institute of engineering and technology, Pimpari, Pune

*Corresponding Author E-mail: [email protected]

Abstract In the present paper, the Adomian’s decomposition method is used to prove a solution to fractional integro-differential equations with impulsive condition. The novel method approximately gives the solutions of given nonlinear system of equations as an infinite series which converges to accurate solution. We have given an example to illustrate the proposed method.

Keywords: Impulsive fractional differential equations; Adomaian decomposition method;

M-S303Fixed Point results with triangular α-orbital admissible mapping on

Branciari b-metric spaceVarsha Chauhan

Department of Science, The Bhopal School of Social Sciences, Bhopal, India


Abstract The purpose of this paper is to generalize fixed point theorem by using the concept of triangular α- admissible mapping on b-Branciari metric space. Some results on the existence and uniqueness of fixed point associated with this contraction are also proved. We provide some examples in support of the obtained results. As an application we derive some fixed point results in Branciari b-metric space endowed with a graph.

Keywords: Branciari b-metric space, F-contraction, α-orbital admissible mapping, α-orbital attractive mapping

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M-S304Existence of Common Fixed Point in Complex Valued Fuzzy Metric

Space with ApplicationsVishal Joshi1, Deepak Singh2

1 - Department of Applied Mathematics Jabalpur Engineering college, Jabalpur, and Professional Examination

Board, Bhopal, 2 - Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal,India.

E-mail- [email protected]

Abstract Recently, on recognizing the innovative concept of complex valued fuzzy set due to Ramot et al. [1] , Singh et al. [2] introduced the novel notion of complex valued fuzzy metric spaces. In this article, we introduce a new class of implicit function to prove common fixed point theorems in the framework of complex valued fuzzy metric space. Moreover, new altering distance in terms of integral is defined and utilized the same to deduce integral type contractive conditions. Additionally, we present application of main results to the system of functional equations. Finally, we give an example in support of results obtained.

Keywords: Fixed point, complex valued fuzzy metric space, implicit function, integral type contraction.

M-S306On Projective Semi- Symmetric Non-Metric Connection On Quasi

Einstein ManifoldT.R.Raghuwanshi, Anil Goyal and Manoj Pandey

(Department of Mathematics)

University Institute of Technology, RGPV Bhopal (M.P.)

Abstract The object of the present paper is to study a type of projective semi-symmetric non- metric connection on Quasi Einstein manifold. We have shown that curvature tensor of the connection satisfies Bianchi’s first identity. A part from this, we have studied some more curvature conditions.

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M-S401A Fixed Point Theorem In Bipolar Metric Space

C.P. Dhuri

Department of Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur,Chhattisgarh, India.


Abstract In this paper I obtain a result regarding the existence and uniqueness of the fixed point of the Boyd-Wong type contraction mapping in bipolar metric space.

Keywords: Bipolar metric space, covariant map, right upper semi continuous function, Cauchy bisequence.

M-S402 New Iteration Process For Total Asymptotically Nonexpansive

Mappings In CAT(0) Spaces Dipti Thakur

School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur-492010 C.G., India


Abstract In this paper, propose a new iteration process for total asymptotically nonexpansive mappings. Establish ∆-convergence and strong convergence theorems on a CAT(0) space which extend and improve many results in this literature and also provide numerical examples to illustrate the performance of proposed iteration.

Keywords: Total asymptotically nonexpansive mappings, ∆-convergence and strong convergence theorem, CAT(0) space

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M-S403Some coincidence and common fixed point results under edge-

theoretic F-contraction in complete metric spaceEkta Tamrakar and Hemant Kumar Pathak

School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur (C.G.) 492010 India


Abstract In this paper, we de_ne the notion of (F- edge)-contractions and generalized the relation theoretic coincidence and common fixed point results under (F;R) g- contractions of Alfaqih et al. to the edge theoretic results in metric space endowed with directed graph. Also an example is given to exhibit the utility of our main result. As an application, we investigate the existence and uniqueness of a solution of nonlinear integral equation of Volterra type.

Keywords: Fixed point, Common fixed point, Coincidence point, F-contraction,(F -R)-contraction, Connected graph.

M-S404Existence Of Fixed Point In B-Metric Like Spaces Under Relation

Theoretic Contractions And Its ApplicationsMeena Joshi1, Anita Tomar2 And Sanjay Kumar Padaliya3

1;3 -S.G.R.R. (P.G.) College Dehradun, India.2 -Government Degree College Raipur (Dehradun) Uttarakhand, India.


Abstract We familiarize relational CJM-contraction and generalized Meir-Keeler contraction in b-metric like spaces equipped with a binary relation to establish non unique fixed point results for a discontinuous map. We give applications to solve an initial value problem demonstrate the usability and effectiveness of our results

Keywords: Binary relation, R completeness, R continuity.

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M-S501In Vitro Experiments To Observe Competitive Serum Albumin

Binding Of Amlodipine With Losartan And Its Active Metabolite EXP-1734 When Studied ContemporarilyAlka Singh1, Pawan K. Porwal2, Neeraj Upmanyu3

1 - School of Pharmacy & Research, People’s University, Bhanpur, Bhopal (M.P.) India2 - Amity Institute of Pharmacy, AUMP, Maharajpura, Gwalior (M.P.) India

Email id- [email protected]

Abstract Background: The combination therapy of Losartan and Amlodipine has proven to be beneficial as compare to either drug monotherapy. The mechanism of this beneficial effect has not been established and an approach was made to study possible in vitro protein binding interaction between Amlodipine, Losartan and its active metabolite losartan carboxylic acid (LCA; EXP1371). Several pathological factors viz. oxidation, glycation, aging etc. may induce conformational changes in structure of recombinant Human Serum Albumin (rHSA), which ultimately leads to free drug concentration.Experimental: The selected analytes were effectively separated on thermo β-basic C18 (100×4.6 mm, 5 µm) column using mobile phase consisting of 20mM monobasic potassium phosphate and 0.2% TEA with acetonitrile and iso-propyl alcohol in gradient mode. The eluent was monitored at 228nm at 1.0 ml min-1 flow rate. The total run time was less than 12 min. The in vitro protein binding experiments were performed under simulated physiological conditions using ultrafiltration as protein binding model. The ultrafiltrate was spiked with ramipril (IS) and extracted in 2M NaOH followed by separation with methyl-tert-butyl ether. Human serum albumin was glycated using 8-12 mM D (+)-glucose and glycated albumin was prepared and standardized. Results: The retention time for amlodipine, losartan, losartan carboxylic acid and ramipril was 8.45, 2.22. 3.75 and 7.10 min. respectively. The resolution for any given pair of peak was more than 2.0. Amlodipine, losartan and LCA bind more than 95% to recombinant human serum albumin (rHSA), when studied individually. The protein binding of Losartan and LCA were not affected when spiked concomitantly with amlodipine, whereas, binding of Amlodipine to rHSA was decreased by 15-20% under similar conditions at supra pharmacological concentration level of LOS and LCA. The albumin binding capacity of all the analytes were reduced nearly seven to eight fold in the case of Gly-HSA. The in vitro protein binding studies with Gly-HSA have shown alteration in the corresponding albumin binding of Amlodipine, Losartan and LCA.

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M-S502Selection Of Photovoltaic Solar Panel Using Pythagorean Fuzzy Technique For Order Preference By Similarity To Ideal Solution

Animesh Biswas* And Biswajit Sarkar

Department of Mathematics, University of Kalyani, Kalyani – 741235, West Bengal, India


Abstract This paper aims to propose a new multi-criteria decision making method based on technique fororder preference by similarity to ideal solution (TOPSIS) in Pythagorean fuzzy environment. In the proposed process, at first, completely unknown weights of criteria are determined through a newly defined Pythagorean fuzzy entropy weight model. Then TOPSIS is employed to find best ranking of alternatives. An illustrative example regarding selection of best photovoltaic solar panels available in solar market of West Bengal, India, is considered, solved and compared with the results obtained by existing new multi-criteria decision making methods to demonstrate the application potentiality of the proposed method.

Keywords: Non-conventional energy, Photovoltaic solar panel, Multicriteria decision making, Pythagorean fuzzy sets.

M-S503Big Data Analytics Tools: A Review

Anu Mangal, M. A. Rizvi1- Department of Electronics & Communication Engineering, UIT-RGPV, Bhopal – 462033, M.P. India.

2- Department of Computer Engineering and Applications, National Institute of Technical Teachers’ Training

and Research, Bhopal

Abstract Big data can be termed as high volume and velocity data as it contains the magnitude of petabytes and it is being generated at a very fast pace. Almost all the big organizations and enterprises are using big data as a source to learn consumers interest, demand of the market so as the increase their efficiency and profits. Big data is available in different forms such as text, graphics, image, video etc which are usually in unstructured or raw format. So, to convert this raw data into trustworthy data big data analytics is required. Thus, big data analytics can be viewed as a sub-process of insight extraction from big data. Traditional data processing techniques are not sufficient to handle such high volume or high velocity data. This paper aims to provide a detailed review and comparative assessment of latest tools and frameworks used for big data analytics.

Keywords: Big data analytics, high volume,comparitive assesment, tools

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M-S504Multi-Layer Neural Network Based Parsing With Morphological

Features For Projective SentencesAshish Pradhan1, Archit Yajnik2,*

Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, East Sikkim, India


Abstract Data driven parsing techniques like Transition and Maximum Spanning Tree based tends to have low accuracy for Indian languages as compared to Chinese and major European languages (EUL), which is due to the complexity of grammatical structures of these languages. Unlike EUL, Indian languages are morphologically rich and all of these features are not reflected in the training data sets. To address these problems a Multi Layer Neural Network based Parsing approach for Indian languages using the Backpropagation learning algorithm is proposed, where features like Phrase structures, Parts-of-speech tags, presence of Case Markers and Generic Markers are all expressed in the input patterns as d-dimentional vectors. The parser is trained with features of elementary 3-word, projective Nepali sentences.

Keywords: Multi Layer Neural Network; Backpropagation learning algorithm; Parsing; Projectivity.

M-S602Estimating The Technical Efficiency, Input Excess And Output

Shortfall Of Farm Machinery Manufacturers Using Slacks-Based Data Envelopment Analysis

Manoj Kumar, V BhushanBabu and M B Tamhankar

ICAR-Central Institute of Agricultural Engineering, Bhopal-462 038, India


Abstract The technical efficiency of farm machinery manufacturers in Central India has been estimated using data envelopment analysis (DEA) and slacks-based DEA. For this purpose, primary data were collected from the farm machinery manufacturers during 2017-18. Out of total variation observed in manufacturing system, 69 % was due to technical inefficiency and 31 % was due to stochastic errors. The farm implements were being manufactured with technical efficiency 54.3% and 65.2% assuming half-normal and exponential distribution respectively. This shows that the system can be enhanced further by 45.6% and 34.7%, respectively, using the same inputs and manufacturing technology. It was found that 85.05% manufacturer shows increasing return to scale (IRS), 3.44% decreasing return to scale (DRS) and 11.49% constant return to scale (CRS). The input excess and output shortfall was also estimated using slacks-based DEA model for inefficient manufacturers. The inefficient manufacturers can become efficient after reducing their input and increasing their annual turnover. On an average, to be an efficient manufacturer, one has to reach annual turnover by INR 40.7 million and has to cut off 1 salesman, 4 technicians, 8 helpers, 2 office staff and 1 service staff.

Keywords: Farm machinery manufacturers, technical efficiency, data envelopment analysis, slacks-based DEA

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M-S603Normality Criteria Of A Family Of Zero-Free Meromorphic Functions

Dr. Shyamali Dewan

Department of Mathematics

Bhairab Ganguly College, Kolkata –700056, West Bengal, India


Abstract In this paper the result of Deng et.al (J. Aust.Math. Soc., 91 (2011)313-322) has been generalized in a manner that if F be family of zero-free meromorphic functions in a domain D and h(z)≢0 be a holomorphic function in D, k be a positive integer, also if H(f)-h has atmost k distinct zeros IM in D for each f∈F then F is normal in D, where H(f)= f(k)+ak-1 f (k-1)+ak-2 f(k-2)+……+a0 f.Further another result of Deng et.al (Acta. Math.Sinica,Eng. Ser. (2017)1-9) has been generalized in the form that if {fn} be a sequence of meromorphic functions in a domain D and {hn} be a sequence of functions holomorphic in D such that hn (z)⟹h(z), h(z)≠0 is holomorphic in D; also if fn (z)≠0 and fn

(k)(z)+ak-1 (z)f(k-1)(z)+ak-2 (z)f(k-2)(z)+……+a0 (z) f(z)-hn (z) has atmost k(positive integer) distinct zeros (IM) in D then {fn} is normal in D.

Keywords: Meromophic functions, zero-free, sequence of functions, normality

M-S604A Related Fixed Point Theorem of Rational Type on Complete Metric

SpacesUma shankar singh1, Naval Singh2

1 - Sagar Institute of Research & Technology Excellence, Bhopal, India2- Govt. Science and Commerce PG College Benazeer, Bhopal, India

Abstract The purpose of this paper is to establish a related fixed point theorem in three complete metric spaces .our result generalized the Result of Gjono[16] for new rational expression and prove related fixed point theorem for three metric spaces with the help of implicit relations.

Keywords: Fixed point, complete metric space, Cauchy sequence, implicit relations.

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T-S102Variants Of Contractions In Graphical Metric Spaces With

ApplicationsMudasir Younis, Deepak Singh

Department of Applied Mathematics, UIT-Rajiv Gandhi Technological University (RGPV),


Abstract Recently a new approach has been attracting attention, dealing with the extension of various contractions to graphical metric spaces. In this presentation, we aim to present different types of contractions in the graph structure, coalescing the concepts of graph theory and metric fixed-point theory. We elaborate on the newly proposed concepts in a novel way by portraying suitably directed graphs. We also provide some examples in graph structure to show that our results are sharp as compared to the results in the existing state-of-art. Some mechanical and engineering applications are propounded to exhibit the potency and viability of our results. In the end, some open problems are proposed for future aspects of the study

Keywords: Fixed Point; Graphical metric space; Directed graph

T-S103Weakly Compatible Mapping Satisfying (E.A) - Property In b-Metric

SpaceSharad Kumar Barve1, Qazi Aftab Kabir2

1- Department of Mathematics, J. H. Govt. P. G. College Betul, (M. P)-460001 (India)2 - Department of Mathematics, Saifia Science College Bhopal, (M. P)-462001 (India)

Email: [email protected].

Abstract In this paper, we prove a common fixed point theorem for four pairs of mappings which satisfy the (E.A)- property in b-metric space. The proposed theorem expands and generalizes several well-known comparable results in the literature. Example is given showing that our result is proper extensions of the existing ones.

Keywords: Fixed points, Common fixed points, weakly compatible mappings, (E.A)-property, b-metric space.

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T-S104Cone Ab-metric space and some related fixed point theorems

K. Anthony Singh1, M. R. Singh2

1 - Department of Mathematics, D.M. College of Science, Imphal(Manipur), India2 - Department of Mathematics, Manipur University, Canchipur(Manipur), India


Abstract In this paper, we introduce the concept of cone Ab-metric space and prove some fixed point theorems in the new space. Our results generalize some fixed point results in cone metric space and cone Sb-metric space.

Keywords: cone metric space, cone Sb-metric space, cone Ab-metric space, fixed point

T-S201Business Analytics And Optimization In Supply Chain Management:

A ReviewMayank Ramnani1, Vikram K. Gupta2, Rijul Chaturvedi2, Ravi Kishor Ranjan2

1 - Department of Information Systems , Indian Institute of Management, Indore2 - Department of Operations Management, Indian Institute of Management, Indore


Abstract Business Analytics has emerged as one of the most important paradigm in today’s business scenario for gaining a competitive advantage by enabling data driven decision making. Analytics can help to improve supply chain performance and transparency, and satisfy the service level requirements. Supply Chain Management (SCM) has become a dominant and impactful way of securing competitive advantage for the organizations .To realize this, SCM requires a lot of complex decision making process across a hierarchy (at strategic, tactical and operational level) to minimize the costs and maximize the service value provided to the customer. Nowadays, organizations want their supply chain to become more data-driven to gain a better sense of customer needs and respond accordingly. Business Analytics enables supply chain, logistics,procurement and inventory managers to identify and understand that the seemless data sharing amongst the supply chain enablers, right from the manufacturer to the end customer results in breaking down of silos and leads to better coordination and response. The objective of this paper is to present the significance of analytics and optimization in the context of modern supply chain management and to identify the research scenario in the SCM domain. The paper attempts to describe the state-of-the-art in research in the context of descriptive, predictive and prescriptive analytics through an investigation of existing literature concerning with the application of analytics in supply chain management.

Keywords: Supply Chian Management, Business Analytics, Optimisation, Descriptive analytics, Prescritive analytics, Predictive analytics.

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T-S202Improved Document Retrieval Technique Using Optimization of

User Query RachnaNavalakhe1, Nidhi Bhandari2

1 - Department of Applied Mathematics and Computational Science, SGSITS, 23, ParkRoad, Indore2 - Department of Applied Mathematics, IET, DAVV, Khandwa Road , Indore.


Abstract Unstructured data processing and finding accurate information from IR models is a complex task. The classical techniques use different concepts for improving IR models such as categorization, classification etc. This paper reviews different document retrieval techniques first and then an extension on previously introduced version is provided. This technique first pre-process data, extract features then the retrieved features are organized in a Tuple. These Tuples are further used with fuzzy c means algorithm to cluster the domain according to their features. This process reduces the time of search model. In addition to this, the new query generation and optimization technique is proposed in this work to prevent inappropriate query submission. The results with the different dataset shows the proposed IR model improves the performance in terms of efficient and accuracy.

T-S204Existence of the solution for global optimization problems

Gopal Meena

Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India.

[email protected]

Abstract In this paper, we study about some global optimization problems and established the existence of their solutions, subject to the inequality constraints involving F-contractions in the setting of complete metric spaces. Illustrations of the main results through the examples are also given.

Keywords: Optimization; F-contraction; metric spaces.

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T-S301Fuzzy Metrics And Their Application In Computer Vision

Mayank Sharma1 and Ramakant Sharma2 1 - Department of Mathematics, LNCT, Bhopal

2 - Department of Mathematics, Bansal College of Engineering, Mandideep, Bhopal2 - Department of Applied Sciences, NITTTR, Bhopal

Abstract In this paper we present the application of fuzzy metrics in computer vision with some examples of fuzzy metrics in the sense of George and Veeramani. Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics deals nicely with the nonlinear nature of digital images that are used in vector median-based filters for noise reductions. In this paper we use the generalised fuzzy metric space(In the sense of George and Veeramani) and obtained some results which can be used for the filtering techniques.

Keywords: Fuzzy metric space, Generalized Fuzzy n-Metric Space, vector median filters.

T-S301AImpact of Data Modelling in Business Analytics

Shadab Pasha

Abstract In recent years due to the proliferation of Internet, the phenomenal growth in the data is seen. Learning from this data is not so easy due to various characteristics of it. To extract meaningful information out of it, data modelling plays a key role. The contribution of the mathematics in the field of data science is indispensable.Data modelling helps us to establish relationships among various types of information that are stored in database. Good data modelling techniques are required for efficiently retrieval of information out of the stored data. Now a day’s data comes from everywhere, it may be from social networking sites like facebook, twitter, whatsapp or e-commerce based site like flipkart, Amazon. To extract the information from the unstructured data, transform it into the relevant form and load it into the database required data modelling techniques.In this paper various aspects of data modelling are explored in the context of optimization and analysis. Also with different BI tools for reporting and analysing

Keywords: BI-Business Intelligence

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T-S302Simulation Mappings And Fixed-Point Theorems Under S-Metric

SpaceA.Padma1, M.Vijaya Kumar2

1 - Chaitanya Bharathi Institute Of Technology, Hyderabad 2 - bhopal

Abstract In this paper, we prove simulation mappings and fixed-point theorems under S-metric space. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation mapping. Moreover, these generalizations do not just include metric spaces; they include contractions, as well. The set of all simulation mappings. There are some examples of we investigate solutions to the fixed-circle problem, various methods on a metric space or some generalized metric spaces with some illustrative examples

Keywords: Fixed point; fixed point theorem, fixed disc; S-metric space; simulation mapping fixed-circle problem

T-S302ACommon Fixed Point Theorems Using Compatible Maps In D-Metric

Spaces Over Topological Semi FieldUday Dolas

Department of Mathematics,

Chandra Shekhar Azad Government P. G. College, Sehore (M.P.),


Abstract In this paper, we introduce the concepts of compatible mappings in D- metric spaces over Topological semi field and prove the common fixed point theorem.

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T-S303Common Fixed Point Theorems In Complex Valued Metric Space

Using Implicit RelationDr. Preeti Sengar

Department of Applied Mathematics and Computational Science, SGSITS Indore (M.P.)

Abstract Banach contraction principle in gives appropriate and simple conditions to establish the existence and uniqueness of a solution of an operator equation Tx = x. Later, a number of papers were devoted to the improvement and generalization of that result. Most of these results deal with the generalizations of the different contractive conditions in metric spaces. The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying occasionally weakly compatible maps in complex valued metric space using implicit relations. The obtained results generalize and extend some of the well-known results in the literature.

T-S303APerformance Analysis Of Crypto-Stego Algorithms For Multimedia

Data Security: SurveySneha Soni, Dr. Aarti Kumar

Ph D Research Scholar, RNTU University,Associate Prof.,

RNTU University, Dept of CSE


Abstract As in the recent era, due to the easy accessibility of multimedia data especially video, image, text audio from the internet, data security has become the major issue. Few of the multimedia data including important and sensitive information related to the major aspects of society like politics, militaries, banking operations, personal information, economics, educations, etc. and it becomes very necessary to protect its integrity and identity. In order to ensure the security of the multimedia data used on the internet, information security provides major techniques like Cryptography, Steganography and Watermarking. In this paper detailed review is provided with a major focus on a combination of two well-known information security methods i.e. cryptography and steganography (Crypto-Stego algorithms) with their performance analysis and previous contribution to ensure security.To judge the performance of the cryptography algorithm few metrics are analyze like processing speed of the algorithm, encryption/decryption time, throughput, key size, etc, similarly, steganography algorithm performance is measure by hiding capacity, mean square error, root mean square error, PSNR, quality index, correlation, structural similarity index, and security.Finally, in the concluding remark, some future directions are highlighted to ensure multimedia data security with the combination of other information security methods.

Keywords: Information Security, Cryptography, Steganography, Performance Evaluation Parameters

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T-S304Some Common Fixed Point Theorem Using Faintly Compatible Maps In Modified Intuitionistic Probabilistic Metric Space With Common

Property (E.A.)Devendra Solanki1, Manish Sharma2, Varsha Mandwariya3

1,2 - Department of Mathematics, IEHE Bhopal , M.P. India3 - Sant Hirdaram Girls Colleg,e Bhopal, M.P. India.

E-mail :[email protected]

Abstract In this paper we define the concept of modified intuitionistic probabilistic metric space the common property of EA. We will prove new theorems and examples using faintly compatible maps in modified intuitionistic probabilistic metric space. Our main goal is to use common property EA in new directions. Our results has prove some common fixed point theorem in modified intuitionistic Menger probabilistic metric space satisfying an implicit relation.

Keywords: Fixed point theorem, compatible mapping, Probabilistic metric space, Common (E.A) like

T-S304ASome Coupled Fixed Point Theorems Using Nonlinear Contractive

MappingsVirendra Singh Chouhan1, Deepti Sharma2

1 - Department of Mathematics and Statistics, Manipal University Jaipur, India.2 - Department of Mathematics, Ujjain Engineering College, Ujjain

Email- [email protected]

Abstract In this paper, we are establishing some coupled fixed-point theorems for nonlinear contractive mappings endowed with partially ordered metric spaces. To support the application of coupled fixed point we provide some aspects to application to integral equations.

Keywords: Coupled fixed point, partial ordered, complete metric space.s

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T-S305Convergence Analysis Of An Iteration Involving Two

G-Nonexpansive MappingsSabiya Khatoon

Department of Mathematics

Jamia Millia Islamia New Delhi-110025, India.


Abstract In this paper, we studied the convergence analysis of a new iteration involving two G-nonexpansive mappings in uniformly convex Banach space associated with a directed graph. By constructing a numerical example, we show the fastness of our iteration procedure over other existing iteration procedures.

Keywords: G-nonexpansive mapping, weak and strong convergence, common fixed point, directed graph.

T-S306Fixed Point Results in Complete Metric Spaces

Sonika Raghuvanshi1, Vijay Gupta2, Ramakant Bhardwaj3

1,2 - Department of Mathematics, RGPV Bhopal 3 - Department of Mathematics, AMITY University Kolkata (W.B.) India.


Abstract One of the most dynamic area of research of the last 60 years with a lots of applications in various fields of pure and applied mathematics as well as in physical, economic or life sciences also equilibrium states of an economy, optimization processes solutions, fractals, closed orbits in a system of mutually gravitating bodies etc. are fixed points of an appropriate operator. There are numerous extensions of Banach’s fixed point theorem by generalization its hypothesis while retaining the convergence property of successive iterations the unique fixed point of mapping. In the present paper some extension of Banach Contraction principle is established in complete metric spaces for generalized weekly contractive mappings in complete metric space which generalize many well-known results

Keywords: Fixed point, generalized weekly contractive mapping

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T-S307Some Common Fixed Point Theorem using faintly compatible maps in modified intuitionistic probabilistic metric space with common

property (E.A.)Devendra Solanki1, Manish Sharma2, Varsha Mandwariya3

1,2- Department of Mathematics, IEHE Bhopal , M.P. India3- Sant Hirdaram Girls Colleg,e Bhopal, M.P. India.

E-mail id:[email protected]

Abstract In this paper we define the concept of modified intuitionistic probabilistic metric space the common property of EA. We will prove new theorems and examples using faintly compatible maps in modified intuitionistic probabilistic metric space. Our main goal is to use common property EA in new directions. Our results has prove some common fixed point theorem in modified intuitionistic Menger probabilistic metric space satisfying an implicit relation.

Keywords: Fixed point theorem, compatible mapping, Probabilistic metric space, Common (E.A) like

T-S308Results On Cyclic Best Proximity Point Theorems

Madhu Singh

VNS college, bhopal

[email protected]

Abstract This paper involves best proximity point theorems akin to fixed point theorems under various suitable assumption. The results are established in the setting of G-Metric spaces. Thereafter by making consequent use of the best proximity point method, short and elegant proof are obtained for solution of Suitable examples are also presented to explain the application of inequality involved. Also specific values to involved constant provide renowned existing results.

Keywords: Best Proximity point ,G-Metric space, Generalised cyclic mapping, cyclic contractive mapping.

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T-S309A Study Of E-Convex Sets And E-Convex Functions With Reference To

Convex Soft SetsDr. Bhawana Bhatt1 and Dr. Geeta Modi2

1, - Department of MathematicsBhagat Singh PG collge Jaora,M.P.,India2 - Department of Mathematics Govt. Motilal Vigyan Mahavidyalaya,Bhopal,M.P.,India

Email : [email protected]

Abstract E-convex sets and E-convex functions are generalizations of convex sets and convex functions which play important role in optimization problems. In the present paper we study the concept of E-convex sets and E-convex functions with reference to convex soft sets,introduced by Deli.We further extend our study to convex hull and the cone of a soft set.

Keywords: E- convex sets, E - convex functions, convex soft sets.

T-S310Applications Of Corrected Quadrature Rule For Singular Integrals

Indrayani Sutar1, Sarita Thakar2

1- Department of Mathematics, Dr. D. Y. Patil Institute of Technology, Pimpri, Pune, India2 - Department of Mathematics, Shivaji University, Kolhapur, India.

E-mail :[email protected]

Abstract A new corrected quadrature rule is constructed to evaluate singular integrals of the form . The rule is derived by approximating unknown function by Hermite interpolating polynomial. Zeros of first kind Chebyshev polynomials are chosen as mesh points of interpolation. Advantage of proposed method is that it produces reliable results when some mesh points coincide with singular point. Method is illustrated with some suitable examples.

Keywords: Singular integral, Hermite interpolation, Corrected quadrature formula.

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T-S311A Numerical Solution for the Heat Equations using Trigonometric

Cubic B-SplineUday Singh

Department of Mathematics and Computer Science

Rani Durgavati University, Jabalpur, M.P., India


Abstract The trigonometric cubic B-splines approach for solving one-dimensional heat equations is considered in the present study. A standard finite difference approach had been used to discrete the time derivative while the trigonometric cubic B-spline is implemented in the space dimension as an interpolation function. The accuracy of the method for heat equation is discussed. The analytical results indicate that they are in good agreement with the exact solution.

Keywords: Heat equation; Trigonometric cubic B-splines; Truncation error; Interpolation function.

T-S401Set-Valued Variational Inclusion Problem With Fuzzy Mappings

Involving XOR-OperationImran Ali

Department of Mathematics, Faculty of Science, Aligarh Muslim University,

Aligarh–202002, India


Abstract In this paper, we introduce a set-valued variational inclusion problem with fuzzy mappings involving XOR-operation. We define a resolvent operator involving a bi-mapping and prove some of its properties. An existence and convergence result is proved for set-valued variational inclusion problem with fuzzy mappings involving XOR-operation without using the properties of a normal cone and a particular case of our main result is also proved for classical mappings. Some examples are constructed.

Keywords: Algorithm, Fuzzy mapping, Inclusion, XOR-operation, Set-valued.

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T-S402Credibilistic Semi-variance of Trapezoidal Fuzzy Variable and Its

Application to Select Portfolios in Fuzzy EnvironmentJagdish Kumar Pahade1, Manoj Jha2

Department of mathematics, Maulana Azad National Institute of Technology (MANIT), Bhopal, 462003, India


Abstract The credibility theory (Branch of fuzzy set theory) is broadly utilized to describe uncertainty of the financial markets. This paper obtains credibilistic semivariance of trapezoidal fuzzy variable and applied this concept to quantify the portfolio risk in the stock portfolio selection. A mean-semivariance- skewness model is proposed with numerical illustration taking historical data set from the Indian premier market for financial assets. To solve the proposed multi-objective optimization problem, optimal goal programming approach is suggested. Furthermore, results comparison of semivariance as risk measure with other risk measures is performed.

Keywords: Trapezoidal fuzzy variable, Credibilistic semivariance, Fuzzy portfolio selection, Goal programming.

T-S403Fixed Points Of Expansive Mappings In A-Metric Space

Sachin Dev Kushwaha1, P. L. Sanodia2, Manoj Ughade3

1- Department of Mathematics, IES Group of Institutions, Madhya Pradesh,India2-Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh,

3-Department of Mathematics, Government J.H. Post Graduate College, Betul, P.O. Box 460001,


Abstract In this paper, we prove some fixed point theorems for expansive mapping on A-metric spaces. Our results extend/generalize many pre-existing results in literature

Keywords: A-metric space; expansive mapping; fixed point

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T-S404Fixed Point Theorems for F*- contraction in Fuzzy Metric Spaces

Vizender Sihag1 and Bijender Singh2

1- Faculty of Physical Sciences, GJUS&T, Hisar2-Research Scholar, Department of Mathematics, GJUS&T, Hisar

Email id.: [email protected]

Abstract In this article, we introduce a new notion of F*- contraction in setting of fuzzy metric spaces and prove fixed point theorems, providing new generalization to Banach contraction principle in different way than in the known results from recent the literature. Further, we include illustrative examples in support of our results.

T-S405Fuzzy Number – A New Hypothesis And Its Algebra

Dr. Vijay .C. Makwana1, Dr. Vijay. P. Soni2

Department of Mathematics, Government Engineering College, Patan, Gujarat, India


Abstract In this paper a new hypothesis of fuzzy number has been proposed which is precise and direct. This new proposed approach is considered as an equivalence class on R with its Algebraic structure along with theoretical analysis and computational results. Newly defined hypothesis provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy numbers and an extensive view on its algebra making it a resource for students, researchers, and practical engineers.

Keywords: Fuzzy Number; arithmetic of fuzzy numbers; fuzzy algebraic structure.

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T-S406Fuzzy Additive Group And Fuzzy Multiplicative Group

Dr. Vijay. P. Soni1, Dr. Vijay .C. Makwana2

Department of Mathematics, Government Engineering College, Patan, Gujarat, India


Abstract Since inception, for fuzzy group only one algebraic operation on the crisp set is used which gives identical values of membership function. For better results the identical values of membership functions are inefficient. Due to this problem, in this paper two algebraic operations addition and multiplication on the crisp set has been introduced. For which membership functions defined in different way so that and are satisfied. The main purpose of this research is to introduce a field structure on the membership values which provide future resources for new researcher in fuzzy mathematics.

Keywords: Membership function; fuzzy algebraic operations; fuzzy group.

T-S407Common Fixed Point Theorem In Fuzzy Random Space

Anil Rajput1, Manish Sharma2, Prem Pratap Singh3

1,2,3 - Department of Mathematics, CSA Govt. PG Nodal College Sehore, M.P. India.

E-mail id:[email protected]

Abstract In this paper we are proving a common fixed point theorem for random fuzzy space using by the theory of fuzzy metric space and random space. Our main objectives of this paper are to discuss already existence results and give new various definitions and examples. Our theorems are extension and generalizations of previous proved theorems of many authors.

Keywords: Fixed point theorem, Common fixed point theorem, Fuzzy metric space, Random variable

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T-S408An Application Of Fuzzy Lipschitz Maps For Nonlinear Contractions

In Kaleva–Seikkala’s Type Fuzzy Metric SpacesMayank Sharma1 and Ramakant Sharma2 & Deepak Singh3

1-Department of Mathematics, LNCT, Bhopal 2-Department of Mathematics, Bansal College of Engineering, Mandideep, Bhopal

3-Department of Applied Sciences, NITTTR, Bhopal

Abstract In this paper using the concept of Fuzzy Lipchitz maps introduced by [G Yuna,, S Hwang, and J Chang, Fuzzy Lipschitz maps and fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 161 (2010) 1117–1130] between GV-complete fuzzy metric spaces and we establish some new results fornonlinear contractions in Kaleva–Seikkala’s type fuzzy metric spaces which are very new to the literature and also lead to a new dimension on the application part fuzzy Lipschitz maps for various contractive conditionsin different spaces.

Keywords: Fuzzy metric spaces; Fuzzy numbers; Nonlinear contraction; Fixed point.

T-S409Study Of Day To Day Variation Of M(3000)F2 At Low Latitude Station

Bhanupriya1, Madhuri Singh2, S.K Vijay3

1-Research Scholar Barkatullah University, Bhopal2-Research Scholar Barkatullah University, Bhopal

3-Govt. Maharani Laxmi Bai Girls P.G. College, Bhopal

Abstract In this paper, the day to day variability for M(3000)F2 parameter of F-region for a low latitude station Darwin(12.47S,130.85E) for the year 2014 studied. The diurnal, seasonal and monthly variation of M(3000)F2 parameter has been studied. The standard deviation method is used to analyze the variation of M(3000)F2 parameter. The seasonal variation is divided into three seasons- winter months, equinoxial months and summer months. In the study it has been found, the diurnal percentage deviation of M(3000)F2 is high in the night time than day time. For seasonal variation, the variation of percentage deviation of M(3000)F2 for the night is high in summer months as compared to winter months and equinoxial months. For monthly variation, the percentage deviation of M(3000)F2 is high in November and low in March and September.

Keywords: Variability, F-region, Low latitude.

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T-S411Discussion On Graphical Rectangular Metric Space And Fixed Point

ResultsPravin Baradol1, Dr. Dhananjay Gopal2

Applied Mathematics and Humanities Department, SVNIT, Surat, India.


Abstract In this paper, we introduce a graphical version of a rectangular metric space, namely a graphical rectangular metric space. We then prove the fixed point theorems in the aforesaid space. Supporting examples are also given. Our result generalize and extend some known results existing in this literature.

Keywords: Graph; Graphical rectangular matric; Banach (G, G’)-contraction.

T-S501

Mathematical Modeling Of Solar Chimney For Air Ventilation In A Room Using Passive Ventilation Method

Krishna Singh Rajput1, V. N. Bartaria2

1- Ph. D Scholar, Mechanical Engineering Department, LNCT University Bhopal.2- Professor, Mechanical Engineering Department, LNCT Bhopal.


Abstract Passive ventilation method is an efficient approach to save energy in building and secure environment. In recent years passive ventilation has proved to be better option for improving indoor thermal environment. Previous studies focuses mainly on achieving improved ventilation performance both experimentally and theoretically in ideal condition, whereas small sized equipment are generally considered for experimental studies. A mathematical model and numerical investigation on solar chimney was proposed to predict performance under varying atmospheric condition and geometrical features to induce ventilation building. The observation was compared with theoretical calculation and numerical simulation. The experimental results for a solar chimney of 6.2m length, 2.8m width and 0.35m air gap shows that air flow rate of 70.6m3/h – 1887.6m3/h can be achieved during the daytime in the testing day. On comparison it is found that the flow rate of the measured value is generally lower than theoretical value. In real engineering project, the suggested discharge coefficient Cd of solar energy is taken as 0.51. By using the suggested discharge coefficient value, during the season from April to November the simulation result shows that solar chimney can be used for saving energy with an energy saving rate of about 14.5%. Hence solar chimney is an efficient way to save energy for residential building for both summer and winter season.

Keywords: Solar chimney, ventilation, collector, solar radiation.

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T-S502On The Minimum Eigenvalue Of The Fan Product Of M-Matrices

Leena Sharma1, V. H. Badshah2, H.K. Patel1

1- Department of Mathematics, Ujjain Engineering College, Ujjain 456010,2- School of Studies in Mathematics, Vikram University, Ujjain 456010,


Abstract In this paper a new inequality on the minimum eigenvalue of the Fan product ofnon-singular M-matrices is proposed. This bound improves some existing results. We also give some numerical examples to show that the bound is better than some previous results.

T-S503Optimizing Distributed Computing in the context of Deep Learning

Lokendra Gour, Dr. Akhilesh A.Waoo

Assistant Professor, Associate Professor and HOD

Department of Computer Science, Department of Computer Science Applications and Technology

RGCCAT Satna(M.P.) India,

AKS University,Satna(M.P.) India

Abstract In the era of data science distributed computing plays a significant role of data analytics.By applying deep learning approach in distributed systems, multiple processing units may enhance the performance of the system. In spite of this distributed system encounters major and drastic problems of faults, errors or failure of the entire system. Deep learning approach can play a significant role by deploying multiple processing units or entities in distributed environment. Efficiency of distributed computer system is drastically improved by incorporating the deep learning algorithms. There is a great need of deep learning approach to resolve the problem of organizing massive resources in distributed computing. Distributed deep learning (DDL) provides the mechanism to solve the critical problems like selection of the system, distribution of computations among the various systems occurred in distributed computing environment..Deep learning encapsulates multiple processing elements or agents to each resource of distributed system. Data-parallelism is the basic approach for deep learning. Data security and privacy are the key issues to implement machine learning and deep learning approach.

Keywords: Distributed computing, machine learning, deep learning, data security, privacy

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T-S505Patterns Of Ionospheric TEC Variations And Its Synchronization

With Solar Activity Indices During Solar Maxima And Minima PhasesMahesh Parwani1, Dr. P.K. Purohit2

1- Department of Physics, Barkatullah University, Bhopal – 462026, MP, India.2- National Institute of Technical Teachers’ Training & Research, Shamla Hills, Bhopal, M.P, India.

Email- [email protected]

Abstract The Aperiodic fluctuations in the Solar Activities intensively affect ionospheric TEC (Total Electron Contents). These fluctuations are commonly studied with the help of Solar Activity Indices. For the present study, we have used three Solar Activity Indices [viz. Sunspot Number (Rz), Solar Extreme Ultraviolet Flux (EUV) and Coronal Mass Ejections (CME)]. These indices provide a wonderful opportunity to remotely observe the different Solar Phases. The aim of this study is to observe the relationship between the Solar Activity Indices and the Ionospheric TEC during the Solar Maxima year 2012 and the Solar Minima year 2017 at low latitude station Pathum Wan, Thailand (CUSV) at 13.74°N & 100.54°E. We observed weak ionospheric activities (lower values of TEC) during Solar Minima year 2017 and strong ionospheric activities (higher values of TEC) during Solar Maxima 2012. It was also seen that both the solar extreme periods follow the same seasonal pattern, showing maximum seasonal TEC during Equinox and the minimum seasonal TEC during summer. It was also observed that the TEC variation shows close agreement with CME occurrence, Sunspot Number (Rz) and EUV flux (24 -36 nm) during the maxima and the minima periods. It was noticed that this agreement was more prominent during the Solar Maxima period than that of the solar Minima period. We also studied two parameters of CMEs, viz. linear speed and angular width. We observed a higher number of Halo and Faster CMEs (CMEs with higher energy) during the Solar Maxima year than that of the Solar Minima year. It was also seen that the average CME speed during the Solar Maxima period was 384.5km/s, whereas during the Solar Minima period this speed was 303.7km/s.

Keywords: Solar Minima, Solar Maxima, CME, EUV, Sunspot Number.

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T-S506Effect Of Bottom Undulation For Mitigating Wave-Induced Forces On

A Floating BridgeR. B. Kaligatla1, Manisha1, T. Sahoo2

1 - Department of Mathematics & computing, Indian Institute of Technology (ISM) Dhanbad , India.2- Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur, India


Abstract A model for oblique wave interaction with a floating bridge in the presence of a submerged breakwater and a trench is developed. The breakwaters and trenches are considered to be of trapezoidal and circular types. The performance of these undulations in bottom bed are analyzed in detail for reflecting waves and reducing resulting forces on bridge. The analysis is performed by utilizing solutions derived with the aid of modified mild-slope equation in the undulated bottom region and of eigen function expansion in uniform bottom region. Significant changes are found in wave reflection and forces due to consideration of these undulations in bottom bed as compared to those in the case of uniform bottom everywhere in fluid region. The present study shows certain range of wave incident angles at which the breakwaters and trenches perform effectively in reflecting waves and thereby reducing forces. A complementary connection is justified between reflection of waves and consequent forces on bridge. Moreover, critical wavenumbers and angles where zero reflection occurs are found in shallow and intermediate water depth. The critical values are found to lead an increase in forces and for these values appropriate gap lengths between bridge and breakwater or trench, width of breakwater and trench are explored. Phase shift in reflection and forces is observed due to the inversion of undulated profiles. Within a periodic value of the distance between the breakwater/trench and the floating bridge, optima in wave reflection occurs. In addition, the maxima in wave reflection is associated with the minima in wave forces acting on the floating bridge. The findings from the present model are likely to be useful in understanding the role of breakwaters and trenches in engineering applications.

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T-S507 Generalized Contractive Condition And Fixed Point Results In

Complex Valued Fuzzy Metric Spaces Om Prakash Chauhan1, Deepak Singh2

1- Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India.2- Department of Applied Sciences, National Institute of Technical Teachers Training and Research(NITTTR),

Bhopal, India.


Abstract In this article, recognizing the innovative concept of complex valued fuzzy metric spaces, we introduce a new concept of generalized complex valued fuzzy contractive mapping and proved some fixed results in the framework of complex valued fuzzy metric spaces. To substantiate the authenticity of our results some illustrative examples are also furnished.

Keywords: Complex valued fuzzy metric spaces, Cauchy sequence, fixed point theorem.

T-S508On the local convergence analysis of Homeier’s-like method in

Banach spaces under ω-continuity conditionNeha Gupta1, J.P. Jaiswal2

1,2- Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, India


Abstract In this article, our aim is to study the local convergenceof the multi-step Homeier’s-like method to solve nonlinear equationsunder a weakerassumption where the nonlinear operator’s first-order Fréchet derivative satisfies the ω-continuity condition. The convergence of the solution under the hypotheses applied only to the first derivative is proved in this article. Some numerical illustrations for validating the theoretical contribution discussed in this study are given.

Keywords: Banach space, local convergence, recurrencerelation, ω-continuity condition.

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T-S509Comprehensive Analysis Of High-Mid And Low Latitude Of

Ionosphere During The Geomagnetic Storms In January 2005Bhupendra Malvi1, Sharad C. Tripathi2, and P. K. Purohit3

1- Department of Electronics, Barkatullah University, Bhopal -462026, M.P., India2- VIT Bhopal University, Kotri Kalan Sehor-466114 M. P., India

3- National Institute of Technical Teachers’ Training and Research, Shamla Hills, Bhopal-462002, M.P., India


Abstract This paper describes a comparative study of ionospheric to Geomagnetic Storms during month of January 2005, active enough in terms of magnetic field perturbations and ionospheric variability, of Solar Cycle 23. Short term and long term effects, in terms of ionospheric parameters; have been undertaken into the study in response to the Solar Flares and Coronal Mass Ejections (CMEs), respectively. Sudden enhancement in ionospheric parameters like foF2, NmF2 aftermath to Flares and enhancement due to Geomagnetic Storms has been observed during this period. This month witnessed many solar events and due to which a number of parametric perturbation in ionosphere has been observed. Such type of studies will surely help in understanding the causal relationship between the ionospheric perturbations and solar events and also to discriminate between short and long term effects due to Flares and Geomagnetic Field perturbations.

Keywords: Geomagnetic storm, Ionospheric variability.

T-S510Iterative Methods For Solving Non Linear Matrix Equations

And Convergence AnalysisSourav Shil1, Hemant Kumar Nashine2

Department of Mathematics, Vellore Institute of Technology, Vellore, Tamilnadu, India


Abstract Non linear matrix equation crop up in n number of fields such as ladder networks, stochastic filtering, control theory and many diverse areas. We discussed suffcient conditions for the existence of uniqueness solutions of the equation X +A*F(X)A = Q. Appropriate iterative methods for estimating the defnite positive solutions are described here.

Keywords: Non Linear Matrix Equations, Iteration, Convergence Analysis

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T-S511Application Of Convergent Sequences To Fixed Point Theorems In

Complex Valued Metric SpaceAnil Badal1, Dr. Deepak Singh2

1- Govt. Dr Shayama Prasad Mukharjee Science and Commerc college (Old Benzeer ), Bhopal2- Department of Applied Sciences, National Institute of Technical Teachers Training and Research(NITTTR),

Bhopal, India.


Abstract In this work we prove some fixed point theorems in complex valued metric space. Also we investigate the existence of fixed point for a linear combination of different type of fractional terms contraction mappings. Furthermore we investigate about the convergence of sequences to a common fixed point. Also some examples are given to support the obtained result. Our main theorem covers multitude of recent works as particular case, showing superiority of our result over to other results of existing literature.

Keywords: Complex valued metric space, fixed point, Linear Combination, Convergent Sequence.

W-S101A New Three Step Iteration Process For The Approximation Of Fixed

PointsManoj Kumar1 , Dr. H. K. Pathak1

S.o.S. in Mathematics, Pt. R. S. U. Raipur (C.G.) India

Email [email protected]

Abstract The purpose of this paper is to introduce a new three step iteration process for the approximation of fixed points of the nonexpansive mappings and proved that it is faster than some known iterative algorithm for the contraction mappings. We support analytic proof by a numerical example in which we approximate the fixed point. We also proved some weak and strong convergence theorems for the nonexpansive mappings. We applied our results for finding solutions of constrained minimization problems and split feasibility problems.

Keywords: Iterative algorithm, weak and strong convergence, constrained optimization problem, split feasibility problem.

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W-S102Theory Of Frames In Signal Processing

Jamkhongam Touthang

Department of Applied Mathematics, Delhi Technological University

Bawana Road, Delhi 110042, India


Abstract The concept of orthonormal basis is of fundamental importance in signal processing. The redundant counterpart of a basis is a frame. The basic concepts and relevant characteristics of frames for applications in signal processing are presented. Some challenges and open problems in signal processing are discussed.

Keywords: orthonormal basis, frames, applications of frames, signal processing, frames in signal processing.

W-S104Generalized Identities Involving Common Factors Of Bivariate

Fibonacci And Bivariate Lucas PolynomialsY. K. Panwar1 and Jaya Bhandari2

1- Department of Mathematics, Govt. Model College, Jhabua, India2- Department of Mathematics, MandsaurUniversity, Mandsaur, India


Abstract In this paper, we present generalized identities involving common factors of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.

Keywords: Bivariate Fibonacci polynomial, Bivariate Lucas polynomial and Binet’s formula.

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W-S105STABILITY ANALYSIS OF PREY PREDATOR MODEL WITH

HARVESTING Dinesh Kumar Verma

Department of Mathematics, Govt. P.G. College, Seoni, Jabalpur (M.P.)


Abstract In this paper, analysed of the prey predator model. We discussed of two prey and one predator. we define prey predator model with susceptible and infected prey. The stability analysis of the system and discussed with equilibrium points. In this paper deals with the positive locally asymptotically stability of the prey predator system.

Keywords: Prey-Predator Model, SI Models, Population Dynamics, Local Stability.

W-S106Early Reviewer Prediction Of E-Commerce Website Through Classic

Rogue Bell Curve TechniqueMs. Pinky Rathore1, Sneha Soni2

1- M.Tech Scholar, Dept. of CSE SIRTE, Bhopal2- M. Tech Guide Dept. of CSE SIRTE, Bhopal


Abstract Now a day’s online reviews have become an important source of information for users before making an informed purchase decision. Early reviews of a product tend to have a high impact on subsequent product sales. Early reviewers are those who have posted a review in the early stage based on their rating behavior received from others and the correlation of their reviews with product popularity. Prediction of the product early reviewers from the e-commerce website influences product popularity and its sell. In this paper, we take the initiative to study the behavior characteristics of early reviewers through their posted reviews on two real-world large e-commerce platforms, i.e., Amazon and Yelp. In order to do this, we divided product lifetime into three consecutive stages, namely early, majority and laggards with the help of the Classic Rogue Bell Curve Technique. By viewing the review posting process as a multiplayer competition game, we propose a novel margin-based embedding model for early reviewer prediction. Extensive experiments on two different e-commerce datasets have shown that our proposed approach outperforms a number of competitive baselines.

Keywords: Classic Rogue Bell Curve Technique, Early review prediction.

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W-S107Analysis Of Geomagnetic Storm Effects On The Ionospheric F Layer

Over Northern And Southern HemisphereRafi Ahmad1, Azad A. Mansoori2, P. K. Purohit3

1- Department of Electronics, Barkatullah University, Bhopal -462026, M.P., India2- Govt. P.G. College, Tikamkarh- 472001, Tikamkarh, M.P., India

3- National Institute of Technical Teachers’ Training and Research, Bhopal, 462002, M.P., India


Abstract In the present study we have studied response of ionospheric F layer critical frequency (foF2) to geomagnetic storm over northern and southern hemisphere. To accomplish this study we have selected two stations one in northern hemisphere , I-Cheon (37.40 N, 127.540 E) of South Korea and another one in southern hemisphere, Hermanus (-34.420 N, 19.220 E) of South Africa. For this study we have selected two geomagnetic storms of 17 March 2015 and 8 September 2017 from our study we find that during the main phase of the geomagnetic storm the foF2 values reached its maximum and lowest values were observed during the recovery phase of geomagnetic storm. Such studies are important for accurate forecasting and modeling of critical frequency of ionospheric F2 layer which is very useful for high-frequency communication.

Keywords: Ionosphere, Geomagnetic storm, Critical frequency (foF2), X- ray flux.

W-S108Common Fixed Point Of A Non-Lipschitzian Semigroup

In A Nonlinear Space With GraphSajan Aggarwal

Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India.


Abstract An existence theorem of common fixed point for semigroup of contraction mappings endowed with graph has been proved. Also, an existence theorem of common fixed point for semigroup of G-nearly asymptotically nonexpansive mappings in hyperbolic metric space has been proved.

Keywords: Hyperbolic Metric Space, G-Nearly Asymptotically Nonexpansive Mapping, Fixed Point Theorems, semigroup of mappings

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W-S201Semi-Local Convergence Analysis Of Sixth Order Method Under Ho

Lder Continuity ConditionDr. Mona Verma and Dr.Pooja Sharma

Abstract In this project,we have studied the semi-local convergence analysis of well-established sixth-order method under the weaker continuity condition i.e. Ho lder continuity condition. The convergence has been done under the recurrence relation technique. a convergence theorem has been established along with its error bound expression. We have verified the developed theory by a numerical illustration where the previous theory fails.

W-S202Applications Of Improper Integrals In Fourier Transform

Dr. Chitra Singh1, Mr. Hiramani Patel


Abstract Different Engineering applications require dealing with improper integral on unbounded domains (improper integrals of the first kind). The classical way for solving these integrals is by means of elementary Calculus (ant derivatives and limit computations) or using numerical approaches. In both situations different problems can arise. For example: the non- existence of anti derivative, the corresponding limit does not exist or integrals depending on parameters which complicate the use of numerical approaches. “In this paper we study the existence of improper integrals of Fourier transform. The so obtained results combined with rate of convergence of improper integral are then applied to Fourier transform and derive to convergent & divergent form of Fourier transform such as (Fourier sine transform & cosine transform”)

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W-S203On slack 2-geodesic convex sets and geodesic E-pseudoconvex

functionsPraveen Kumar1, Akhlad Iqbal2

Department of Mathematics Aligarh Muslim University, Aligarh-202002, India

Email: [email protected], [email protected]

Abstract In this paper, we introduce a new class of sets named as slack 2-geodesic convex set on Riemannian manifolds. By a suitable example, we show that it is a different class of geodesic convexities. We also define geodesic E-pseudoconvex functions and study some properties of geodesic E-quasiconvex functions. We establish some relationships between geodesic E-pseudoconvex functions, geodesic E-quasiconvex functions and slack 2-geodesic convex sets. Furthermore, we present an application of geodesic E-quasiconvex functions to nonlinear programming problems.

W-S204Weighted Lupas Post Quantum Bezier Curves

Mohammad Iliyas

Department of Mathematics, Aligarh Muslim University, Aligarh-202002., India


Abstract This paper deals with a new generalization of rational Lupas Bernstein-B_ezier curves involving (p; q)-integers as shape parameters for all p > 0 and q > 0. A two parameter family of rational rational Bernstein-B_ezier curves, weighted Lupas (p; q) Bezier curves, are constructed based on a set of Lupas (p; q)-analogue of Bernstein blending functions. These blending functions are normalized totally positive bases and their degree elevation properties has been studied. This new genralization of rational Bernstein-Bezier curves involving (p; q)-integers as shape parameters is investigated from a geometric point of view. This investigation provides the geomtric meaning of the weights and the representations of conic sections. The new curves have properties similar to weighted Lupas q-Bezier curves. We have also studied degree evaluation and de Casteljau algorithm by means of homogeneous coordinates. Furthermore, in comparison to classical rational Bezier curves, Lupas q-Bezier curves, Lupas (p; q) Bezier curves and weighted Lupas q-Bezier curves, our generalization gives us more exibility and better approximations to the control polygon.

Keywords: (p; q)-integers; (p; q)-analogue of Lupas Bernstein functions; Weighted Lupas (p; q)-Bezier curves ; Normalized totally positive basis;

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W-S205Results On Artificial Intelligence-Based Fault Diagnosis Of Power

Transformer Dr. Nisha Barley1 & Dr.Manoj Jha2

1- Assistant Professor in mathematics, Dr. Radha Bbai,Govt.Naveen girls college Raipur C.G2- Dr. Manoj Jha, Principal, K.T.C.collegeSalni,Janjgir-Campus C.G..


Abstract This paper involves an interval type-2 SVM fusion model combining with multiple individual SVM classifiers. Under various suitable assumptions experimental results show that interval type -2 FLS is a suitable and feasible way to implement ensemble approaches in terms of performance and computational complexity. Thereafter by making consequent use of interval type-2 fuzzy logic with triangular membership shows that the results are best when compared with the other two membership functions.As an application proposed results can be applied to online diagnosis of incipient faults in transformers.

Keywords: 2 fuzzy set, fuzzy logic, type-2 SVM fusion model, interval type-2 fuzzy logic

W-S206Geometric Characterization of Cubic TB Curve with four Parameters

Mridula Dube1 and Nishi Gupta2

1,2- Department of mathematics and computer science, R.D. University, Jabalpur, Madhya Pradesh, India.

Abstract In this paper the Shape characteristic of trigonometric Bezier Curves (called TB Curves) with four parameters has been examined. The required and sufficient conditions are obtained for those curves having one or more than one inflection points, a loop or a cusp, and are locally or globally convex. Each result is totally featured by the relative position of the control polygon’s side vectors and is précis in a shape diagram of TB curves, which can be utilized for curve and surface modelling. In addition we examined the effect of shape parameters on shape diagram and capacity for altering the shape of the curve.

Keywords: Trigonometric Bezier Curve, Loop, Cusp, Inflection Point, Convexity.

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W-S207Housdroff θ-Contraction In Partially Ordered Complete Metric Space

And Its ApplicationGopal Meena1, Satyendra Kumar Jain2, J.K.Maitra3

1- Jabalpur Engineering College, Jabalpur, (M.P.), India. 2- St. Aloysius College Jabalpur, (M.P.)India.

3- Rdvv Jabalpur, (M.P.)India.


Abstract In 2018 Pawar et. al defined PGA contraction and defined existense and uniqueness of fixed point. and Jleli intoduced the idea of θ contraction in 2014 and Setteled fixed point results.In this article with the concept of PGA contraction and θ contraction we defined θ- PGA contraction which is a more general to previous one and give fixed point results with application. Example has been given to certify results.

Keywords: Metric space, fixed point, contraction

W-S208Mathematical Formulation Of Energy Efficient Routing In Zone

Based Mobile Ad-Hoc NetworkMs. Rani Sahu1, Dr. M. A. Rizvi2

1- Department of Computer Applications, Maulana Azad National Institute of Technology, Bhopal, India. 2- Department of Computer Technology and Application NITTTR Bhopal (M.P.) India 2

Abstract A wireless mobile ad hoc network (MANET) is a dynamic network that can be built without the need for any central governance system and pre-existing infrastructure, in which each node can act as a router. During the transmission of information in any network, energy consumption is an important factor for the efficiency and lifetime of the network. A reduction in energy consumption is achieved by detecting the energy consumption at the node at each stage of transmission.The main objective of this paper is to formulate mathematical models of energy consumption. A mathematical model of the energy consumption of a network is to be built on the basis of available nodes and links to formulate mathematical models related to energy. When constructing this mathematical model for the challenge related to mobility and low connectivity due to limited battery power in the network, the failure of the links present in the network and the estimated energy consumption are taken into account. Due to the greater mobility of this type of network, nodes rapidly change their positions, causing nodes to drain the battery very quickly, thus reducing network performance. So we need a mathematical model that works by taking into account life and saving the energy of nodes based on the nodes and links of the network.

Keywords: Mobile Ad Hoc Network; Dynamic Mobility; Energy Efficiency; Zone based technology; Wireless Routing Protocol.

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ABSTRACTS

W-S301Geospatial Analysis Of Soil Properties In Croplands Of Climatically

Vulnerable District Rajgarh Of Madhya Pradesh*Sangeeta Lenka, NK Lenka, Vassanda Coumar, JK Saha, AK Patra, Dharmendra Singh, Vimal

Shukla, Chandan Kori

ICAR-Indian Institute of Soil Science, Nabibagh, Bhopal-462038


Abstract Assessing the spatial variability of soil properties is important to manage different cropland soils in climatically vulnerable regions. Little is known about the spatial variability of soil organic carbon (SOC) and other soil properties in climatically vulnerable district Rajgarh of Madhya Pradesh. Therefore, the present study was conducted in twenty climate smart adopted villages of northern Rajgarh in M.P. to understand the spatial variability of soil properties using GIS and a geostatistical model. These soil samples were analyzed for SOC, labile carbon, phosphorus (P), potassium (K), soil pH, electrical conductivity (EC), water holding capacity (WHC), micronutrients [iron (Fe), manganese (Mn), zinc (Zn) and copper(Cu)] and dehydrogenase activity (DHA) following standard protocols. These sample points were geo referenced and surface maps of soil properties were prepared using the semivariogram model through Kriging techniques in Arc GIS 10.1. For each soil parameter semivariograms were calculated and their main parameters (nugget, sill and range) were obtained. Moderate spatial dependence for K, labile C, Cu, Fe, Zn, Mn strong spatial dependence for SOC, EC, water holding capacity, P, DHA and week spatial dependence for pH were recorded. The best fit model (exponential/spherical/Gaussian/) was identified to describe the spatial dependence of soil parameters based on root mean square error. All micronutrients except zinc were found high in this region. The Zinc content was also adequate and high except for two villages Manoharpura and Hirapura. The soil maps generated could be used as a guide for site-specific nutrient management in the study region.

46

ABSTRACTS

W-S302Preservers of Gershgorin of Jordan Product of nxn- Matrices

Manoj Joshi1, K. N. Rajeshwari2, K. Santaram3

1- Department of Mathematics, Maharaja Ranjit Singh College of Professional Sciences, Indore (M.P.), India.2- School of Mathematics, Devi Ahilya University, Indore (M.P.), India. 3- School of Mathematics, Devi Ahilya University, Indore (M.P.), India.


Abstract Eigenvalues of matrices play central role in Linear algebra and there is no efficient way of computing these when the order of matrix is high unless the matrix is of very special type. The sets which include eigenvalues are the so called eigenvalue inclusion sets. Since these sets provide location of eigenvalues their study is interesting and important. There are three types of eigenvalue inclusion sets Gershgorin, Ostrowski, Brauer set. Gershgorin is the special case of Ostrowski set. The maps

which satisfy where is an eigenvalue inclusion set and is a binary operation on are known as preservers of eigenvalue inclusion sets.

The aim of this paper is to discuss various properties of when S is the Gershgorin Set and is the Jordan product of matrices, that is for Further, when n=3 an example has been given to show that, the main technique used in characterizing the map when n=2, fails. Assuming to be linear characterization of has been obtained in the general case.

Keywords: Eigenvalue, Jordan Product, Preservers, Gershgorin Set.

W-S304Incomplete’ Pál Type Interpolation On Zeros Of Polynomials With

Complex CoefficientsA. K. Pathak1 and Poornima Tiwari2*

1- OSD, Department of Higher Education, Govt. of Madhya Pradesh, Bhopal (India)2- Department of Mathematics, SantHirdaram Girls College, Bhopal (India)


Abstract Pál type interpolation consists of finding a polynomial of degree (m+n-1), that has prescribed values at m pairwise distinct nodes and prescribed values for rth derivative at n pairwise distinct nodes. Here we have studiedregularity of Pál type interpolation problems, where we have omitted a real node from set of interpolation points. These investigations have carried out on the pair of polynomials with complex coefficients

Keywords: Lacunary polynomial interpolation, ‘Incomplete’ Pál type interpolation, Regularity.

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ABSTRACTS

W-S307Theory And Analysis Of Bi-Period Undulator Radiation

Avani Sharma1, G.Mishra2

Devi Ahilya Vishwa Vidyalaya Indore-452001,MP,India


Abstract A biperiod undulator has been reported with two undulator periods in an undulator field. The theory of undulator radiation of a relativistic electron beam moving in the bi period undulator is investigated. The analytical expression leading to intensity of radiation of an electron moving in the biperiod undulator is derived and analyzed. The bi period undulator radiation tuning is explained through a phase between the two period fields .

W-S308Theory And Analysis Of Inverse Electron Cyclotron Resonance Maser

AcceleratorG.Mishra1, Roma Khullar2,

1- School of Physics, Devi Ahilya Vishwa Vidyalaya (DAVV)2- Department of Physics Government College, Khategaon, Dewas


Abstract In an electron cyclotron resonance maser, the electrons execute cyclotron motion in an axial magnetic field and emit coherent radiation due to azimuthal bunching. In this paper, it is shown that in the presence of the electromagnetic wave, under appropriate resonance and initial condition, the electrons get acceleration. The device is known as Inverse Cyclotron Resonance Maser Accelerator (ICRMA). The ICRMA equations are derived and analyzed. The important analytical expressions of saturation length and saturation energy of inverse cyclotron resonance maser accelerator are derived and discussed. The effect of synchrotron radiation loss is included in the analysis.

Keywords: Laser accelerator, ICRMA, Inverse free electron laser accelerator.

pbnitttrbpl.ac.in/conference/book_abstract.pdf · 2020. 11. 10. · pb key note name affiliation...

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