One-pot multi-substrate screening of ligation reactions using PNA tags. [PDF]
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Best proximity pairs and equilibrium pairs for Kakutani multimaps
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naseer Shahzad
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Proximinal Retracts and Best Proximity Pair Theorems
Numerical Functional Analysis and Optimization, 2003Abstract 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
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Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem
Numerical Functional Analysis and Optimization, 2020A 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
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Optimal problems of the best proximity pair by proximal normal structure
2023Summary: 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
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Fuzzy equilibrium via best proximity pairs in abstract economies
Soft Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Premyuda Dechboon +3 more
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On best proximity pair theorems for relatively -continuous mappings
Nonlinear Analysis: Theory, Methods & Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eldred, A. Anthony +2 more
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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, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The best proximity pair focusing on monotonicity and \(T\)-absolutely direct sets
2021Summary: 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
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