Results 11 to 20 of about 361,851 (280)
Some results on best proximity pair theorems
Applied General Topology, 2002 Best proximity pair theorems are considered to expound the sufficient conditions that ensure the existence of an element xo ϵ A, such that d(xo; T xo) = d(A;B) where T : A 2B is a multifunction defined on suitable subsets A and B of a normed linear ...
P.S. Srinivasan, P. Veeramani
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Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
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Approximate Best Proximity Pairs in Metric Space [PDF]
Abstract and Applied Analysis, 2011 Let A and B be nonempty subsets of a metric space X and also T:A∪B→A∪B and T(A)⊆B, T(B)⊆A. We are going to consider element x∈A such that d(x,Tx)≤d(A,B)+ϵ for some ϵ>0. We call pair (A,B) an approximate best proximity pair.
S. A. M. Mohsenalhosseini +2 more
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces [PDF]
Fixed Point Theory and Applications, 2009 A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal +3 more
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Journal of Mathematics and Computer Science, 2022 In this work, at first we prove an existence result of best proximity pair for noncyclic relatively ρnonexpansive mapping in the setting of modular spaces endowed with a convex directed graph. Furthermore, we study the convergence of a pair of sequences (
Nour-eddine El Harmouchi +2 more
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Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta.
Seyed Ali Mohammad Mohsenialhosseini +1 more
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Uniqueness of best proximity pairs and rigidity of semimetric spaces [PDF]
arXiv, 2022 For arbitrary semimetric space $(X, d)$ and disjoint proximinal subsets $A$, $B$ of $X$ we define the proximinal graph as a bipartite graph with parts $A$ and $B$ whose edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatorname{dist}(A, B)$. We characterize the semimetric spaces whose proximinal graphs have at most one edge and the semimetric ...
Oleksiy Dovgoshey, Ruslan Shanin
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Cyclic contractions and best proximity pair theorems [PDF]
arXiv, 2010 This paper has been withdrawn by the author due to a crucial sign error in equation ...
G. Sankara Raju Kosuru, P. Veeramani
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Darbo type best proximity point (pair) results using measure of noncompactness with application [PDF]
Fixed Point Theory, 2022 . Primarily this work intends to investigate the existence of best proximity points (pairs) for new classes of cyclic (noncyclic) mappings via simulation functions and measure of noncompact-ness.
Moosa Gabeleh +2 more
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps [PDF]
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal +3 more
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