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Editorial Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications Erdal KarapJnar, 1,2 Wei-Shih Du, 3 Poom Kumam, 4 Adrian PetruGel, 5 and Salvador Romaguera 6 1 Department of Mathematics, Atilim University, ˙ Incek, 06836 Ankara, Turkey 2 Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia 3 Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan 4 Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology onburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, ung Khru, Bangkok 10140, ailand 5 Faculty of Mathematics and Computer Science, Babes ¸-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania 6 Instituto Universitario de Matematica Pura y Aplicada, Universitat Polit` ecnica de Val` encia, Cami de Vera s/n, 46022 Valencia, Spain Correspondence should be addressed to Erdal Karapınar; [email protected] Received 28 December 2014; Accepted 28 December 2014 Copyright © 2015 Erdal Karapınar et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. As the editorial team of this special issue, we firstly aimed to initiate and iterate further scientific activity in the field of fixed point theory and its applications. Secondly we aimed to attract and invite talented graduate students and young mathematicians to this one of the most lively areas of math- ematics by providing them with an access to the pioneering work of many exceptional scholars studying in the area. In particular we collect and announce the outstanding results currently available on the existence and uniqueness problems in distinct abstract spaces in this special issue. We also broaden the scope of the issue by including possible applications of the works presented in the various branches of mathematics and some other quantitative sciences. While undertaking this task our main difficulty as acting editors was to choose from 63 high quality papers to publish in this special issue. Among all of these 63 distinguished papers, we have chosen 25 outstanding peer-reviewed papers concerning various aspects of fixed point theory and applica- tion. ese highly qualified papers, published in this special issue, not only have novelty but also contain creative, distin- guished, and interesting ideas. We sincerely hope with this issue that we add the speed of the development of the topics covered herein by spreading the current level of knowledge to the interested parties as much as possible. Authors’ Contribution All authors contributed equally and significantly to writing this paper. All authors read and approved the final paper. Erdal Karapınar Wei-Shih Du Poom Kumam Adrian Petrus ¸el Salvador Romaguera Hindawi Publishing Corporation Abstract and Applied Analysis Volume 2015, Article ID 123984, 1 page http://dx.doi.org/10.1155/2015/123984

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  • EditorialExistence and Uniqueness of Fixed Point in Various AbstractSpaces and Related Applications

    Erdal KarapJnar,1,2 Wei-Shih Du,3 Poom Kumam,4

    Adrian PetruGel,5 and Salvador Romaguera6

    1Department of Mathematics, Atilim University, İncek, 06836 Ankara, Turkey2Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia3Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan4Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT),126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand5Faculty of Mathematics and Computer Science, Babeş-Bolyai University Cluj-Napoca, Cluj-Napoca, Romania6Instituto Universitario de Matematica Pura y Aplicada, Universitat Politècnica de València, Cami de Vera s/n, 46022 Valencia, Spain

    Correspondence should be addressed to Erdal Karapınar; [email protected]

    Received 28 December 2014; Accepted 28 December 2014

    Copyright © 2015 Erdal Karapınar et al.This is an open access article distributed under the Creative CommonsAttribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

    As the editorial team of this special issue, we firstly aimedto initiate and iterate further scientific activity in the field offixed point theory and its applications. Secondly we aimedto attract and invite talented graduate students and youngmathematicians to this one of the most lively areas of math-ematics by providing them with an access to the pioneeringwork of many exceptional scholars studying in the area.

    In particular we collect and announce the outstandingresults currently available on the existence and uniquenessproblems in distinct abstract spaces in this special issue. Wealso broaden the scope of the issue by including possibleapplications of the works presented in the various branches ofmathematics and some other quantitative sciences.

    While undertaking this task our main difficulty as actingeditors was to choose from 63 high quality papers to publishin this special issue. Among all of these 63 distinguishedpapers, we have chosen 25 outstanding peer-reviewed papersconcerning various aspects of fixed point theory and applica-tion. These highly qualified papers, published in this specialissue, not only have novelty but also contain creative, distin-guished, and interesting ideas. We sincerely hope with thisissue that we add the speed of the development of the topicscovered herein by spreading the current level of knowledge tothe interested parties as much as possible.

    Authors’ Contribution

    All authors contributed equally and significantly to writingthis paper. All authors read and approved the final paper.

    Erdal KarapınarWei-Shih Du

    Poom KumamAdrian Petruşel

    Salvador Romaguera

    Hindawi Publishing CorporationAbstract and Applied AnalysisVolume 2015, Article ID 123984, 1 pagehttp://dx.doi.org/10.1155/2015/123984

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