Results 21 to 30 of about 488,813 (304)
Best Proximity Pair Theorems for Multifunctions with Open Fibres
Journal of Approximation Theory, 2000 Let \(A\) and \(B\) be non-empty subsets of a normed linear space \(E\), and let \(T:A\to 2^B\) be a convex multi-valued function with open fibres \(T^{-1}(y)\) (i.e.) \(\{x\in X:y\in Tx\}\). For an element \(x_0\in A\) sufficient conditions are found so that \(\text{dist}(x_0, Tx_0)= \text{dist}(A,B)\).
S. Sadiq Basha, P. Veeramani
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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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Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations [PDF]
Nonlinear Analysis, 2019 We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh +2 more
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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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b-metric spaces and the related approximate best proximity pair results using contraction mappings
Advances in Fixed Point Theory: The aim of this paper is to prove some new approximate best proximity pair theorems on b -metric spaces using contraction mappings, including P -Bianchini contraction, P − B contraction, etc.
K. Saravanan, V. Piramanantham
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Generalized common best proximity point results in fuzzy multiplicative metric spaces
AIMS Mathematics, 2023 In this manuscript, we prove the existence and uniqueness of a common best proximity point for a pair of non-self mappings satisfying the iterative mappings in a complete fuzzy multiplicative metric space.
Umar Ishtiaq +3 more
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
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FilomatThis article explores the existence of an optimal solution for our proposed system of integro differential equations in Banach space by generalizing the best proximity point (pair) theorem and utilizing a new contraction operator.
Mallika Sarmah, Anupam Das, Dipak Sarma
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Best Proximity Pairs in Ultrametric Spaces [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 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
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