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Best proximity and best periodic points for proximal nonunique contractions
Journal of Fixed Point Theory and Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hakan Sahin +2 more
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On Some Coincidence Best Proximity Point Results
Journal of Mathematics, 2021 In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and λ−μ-proximal Geraghty contractions in controlled metric type spaces. To clarify our study, various examples are given and some conclusions
Naeem Saleem +3 more
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Best Proximity Point for Generalized and S-Geraphty Contractions
Abstract and Applied Analysis, 2021 This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized
Abdelhafid Bassou +2 more
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Best Proximity Point Results in G-Metric Spaces [PDF]
Abstract and Applied Analysis, 2014 G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish ...
N. Hussain, A. Latif, P. Salimi
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Best Proximity Point and Geometric Contraction Maps
Journal of Mathematical Extension, 2014 In this paper we introduce geometric contraction map and give a new condition for the existence and uniqueness of best proximity point of geometric contractions.
M. R. Haddadi
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Best Proximity Point Theorem in Quasi-Pseudometric Spaces [PDF]
Abstract and Applied Analysis, 2016 In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized ...
Robert Plebaniak
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Best Proximity Point Theorems for Some New Cyclic Mappings [PDF]
Journal of Applied Mathematics, 2012 By using the stronger Meir-Keeler mapping, we introduce the concepts of the sMK-G-cyclic mappings, sMK-K-cyclic mappings, and sMK-C-cyclic mappings, and then we prove some best proximity point theorems for these various types of contractions. Our results
Chi-Ming Chen, Chao-Hung Chen
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A Coincidence Best Proximity Point Problem in G-Metric Spaces [PDF]
Abstract and Applied Analysis, 2015 The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain ...
M. Abbas, A. Hussain, P. Kumam
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Optimization Problems via Best Proximity Point Analysis [PDF]
Abstract and Applied Analysis, 2014 Many problems arising in different areas of mathematics, such as optimization, variational analysis, and differential equations, can be modeled as equations of the form Tx=x, where T is a given mapping in the framework of a metric space.
Mohamed Jleli +4 more
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Fixed Point and Best Proximity Point Results in PIV-S-Metric Spaces [PDF]
Annales Mathematicae SilesianaeThis paper presents the concept of a partial idempotent valued S-metric space, abbreviated as PIV-S-metric space, as a generalization of both the PIV-metric space and S-metric space.
Asim Mohammad, Imdad Mohammad
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