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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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BEST PROXIMITY FOR TWO PAIRS OF MAPPINGS IN MULTIPLICATIVE METRIC SPACE
Electronic Journal of Mathematical Analysis and ApplicationsSummary: 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, 2016Abstract A mapping T : A ∪ B
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Semi-normal structure and best proximity pair results in convex metric spaces
Banach Journal of Mathematical Analysis, 2014Moosa Gabeleh
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Noncyclic mappings and best proximity pair results in Hilbert and uniformly convex Banach spaces
Quaestiones Mathematicae, 2016Moosa Gabeleh
exaly
Common best proximity pairs in strictly convex Banach spaces
Georgian Mathematical Journal, 2017Moosa Gabeleh
exaly
Pythagorean Property and Best-Proximity Point Theorems
Journal of Optimization Theory and Applications, 2014Rafa Espínola +2 more
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Existence of Best Proximity Pair for Class of Enriched Type Nonexpansive Mappings with Applications
Numerical Functional Analysis and OptimizationSumit Chandok
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GENERALIZED KKM-TYPE THEOREMS FOR BEST PROXIMITY POINTS
Bulletin of the Korean Mathematical Society, 2016exaly