Results 221 to 230 of about 65,457 (238)

Best proximity pairs and equilibrium pairs for Kakutani multimaps

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Naseer Shahzad
exaly   +2 more sources

Proximinal Retracts and Best Proximity Pair Theorems

Numerical Functional Analysis and Optimization, 2003
Abstract This note is concerned with proximinality and best proximity pair theorems in hyperconvex metric spaces and in Hilbert spaces. Given two subsets A and B of a metric space and a mapping best proximity pair theorems provide sufficient conditions that ensure the existence of an such that Thus such theorems provide optimal approximate solutions in
Simeon Reich, P Veeramani
exaly   +2 more sources

Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem

Numerical Functional Analysis and Optimization, 2020
A new class of mappings, called relatively continuous, is introduced and incorporated to elicit best proximity pair theorems for a non-self-mapping in the setting of reflexive Banach space.
Abhik Digar, G Sankara Raju Kosuru
exaly   +2 more sources

Optimal problems of the best proximity pair by proximal normal structure

2023
Summary: Let \((A_1,A_2,A_3)\) be a triple of nonempty convex subsets of a metric space \(\Omega\). In this paper, we determine optimal problems of the best proximity pair by proximal normal structure between two sets \(A_1\) and \(A_2\) with the help of a third set \(A_3\) and we find some necessary and sufficient conditions for existence this optimal
openaire   +2 more sources

Fuzzy equilibrium via best proximity pairs in abstract economies

Soft Computing, 2021
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Premyuda Dechboon   +3 more
openaire   +2 more sources

On best proximity pair theorems for relatively -continuous mappings

Nonlinear Analysis: Theory, Methods & Applications, 2011
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Eldred, A. Anthony   +2 more
openaire   +2 more sources

Remarks on the paper “A characterization of weak proximal normal structure and best proximity pairs”

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023
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openaire   +1 more source

The best proximity pair focusing on monotonicity and \(T\)-absolutely direct sets

2021
Summary: In this article, we mostly pay attention to the existence and uniqueness of the best proximity pair for \(T\)-absolutely direct sets. This investigation is based on some interesting relations existing in Banach lattices, in which \(T : A\to B\) is an arbitrary map.
Mazaheri, Hamid   +2 more
openaire   +2 more sources

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