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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, 2023
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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
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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
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BEST PROXIMITY FOR TWO PAIRS OF MAPPINGS IN MULTIPLICATIVE METRIC SPACE

Electronic Journal of Mathematical Analysis and Applications
Summary: One of the research gaps in the study of best proximity for two pairs of mappings in multiplicative metric spaces may lie in the exploration of its applications in special fields such as computer science or biology, where understanding the behavior of mappings is critical for modeling and analysis.
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Common best proximity pairs in strictly convex Banach spaces

Georgian Mathematical Journal, 2016
Abstract A mapping T : A ∪ B
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Common Best Proximity Pairs in Strictly Convex Banach Spaces

Georgian Mathematical Journal, 2017
Moosa Gabeleh
exaly  

New results for the best proximity pair in cone Riesz space

2022
Sarvari, Ali   +2 more
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Semi-Normal Structure and Best Proximity Pair Results in Convex Metric Spaces

Banach Journal of Mathematical Analysis, 2014
Moosa Gabeleh
exaly  

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