Results 1 to 10 of about 361,752 (181)
Common best proximity points for a pair of mappings with certain dominating property [PDF]
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Charoensawan Phakdi +2 more
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On a generalization of a relatively nonexpansive mapping and best proximity pair [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 Let A and B be two nonempty subsets of a normed space X, and let T : A ∪ B → A ∪ B $T: A \cup B \to A \cup B$ be a cyclic (resp., noncyclic) mapping.
Karim Chaira, Belkassem Seddoug
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Some Results on the Best Proximity Pair [PDF]
Abstract and Applied Analysis, 2011 We give some new conditions for existence and uniqueness of best proximity point. We also introduce the concept of strongly proximity pair and give some interesting results.
Mohammad Reza Haddadi +1 more
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Best proximity point (pair) results via MNC in Busemann convex metric spaces
Applied General Topology, 2022 In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces ...
Moosa Gabeleh, Pradip Ramesh Patle
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On best proximity pair theorems and fixed-point theorems [PDF]
Abstract and Applied Analysis, 2003 The significance of fixed-point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear.
P. S. Srinivasan, P. Veeramani
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Best proximity pair theorems for relatively nonexpansive mappings
Applied General Topology, 2009 Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when
V. Sankar Raj, P. Veeramani
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Best proximity pair and fixed point results for noncyclic mappings in modular spaces
Arab Journal of Mathematical Sciences, 2018 In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets.
Karim Chaira, Samih Lazaiz
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A Characterization of Weak Proximal Normal Structure and Best Proximity Pairs [PDF]
arXiv, 2022 The aim of this paper is to address an open problem given in [Kirk, W. A., Shahzad, Naseer, Normal structure and orbital fixed point conditions, J. Math. Anal. Appl. {\bf{vol 463(2)}}, (2018) 461--476]. We give a characterization of weak proximal normal structure using best proximity pair property.
Abhik Digar +2 more
arxiv +4 more sources
Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also
Chalongchai Klanarong +1 more
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Best proximity pairs in ultrametric spaces [PDF]
arXiv, 2021 In the present paper, we study the existence of best proximity pairs in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems.
Karim Chaira +2 more
arxiv +5 more sources