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Best proximity point theorems for proximal cyclic contractions
Journal of Fixed Point Theory and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basha, S. Sadiq, Shahzad, N., Vetro, C.
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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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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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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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Best Proximity Point for the Sum of Two Non-Self-Operators
Journal of Mathematics, 2020 In the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings.
V. Pragadeeswarar, R. Gopi, M. De la Sen
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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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Non-Archimedean fuzzy metric spaces and Best proximity point theorems [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space.
Mohadeseh Paknazar
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Proximally Compatible Mappings and Common Best Proximity Points [PDF]
Symmetry, 2020 The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences.
V. Pragadeeswarar +3 more
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On Proximal contractions via implicit relations and Best proximity points [PDF]
Miskolc Mathematical Notes, 2021 In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two class of functions $\mathcal{A}$ and $\mathcal{A}'$ to explore proximal $\mathcal{A}$, $\mathcal{A}'$-contractions of first and second type and strong proximal $\mathcal{A}$, $\
Mondal, Pratikshan +2 more
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Best proximity points for Geraghty’s proximal contraction mappings [PDF]
Fixed Point Theory and Applications, 2013 Abstract In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions. Our results improve and extend the recent results of Sadiq Basha and some others. MSC:47H09, 47H10.
Chirasak Mongkolkeha +2 more
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