Best proximity results in metric spaces endowed with a hyperconvex structure

In the current article, we focus on hyperconvex metric spaces and survey the existence of best proximity points and optimal pair of fixed points for cyclic and noncyclic relatively u -continuous mappings which are r -condensing by applying a suitable measure of noncompactness. The method of the proo...

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Veröffentlicht in:	Fixed point theory and algorithms for sciences and engineering Jg. 2025; H. 1; S. 25 - 20
Hauptverfasser:	Gabeleh, Moosa, Markin, Jack
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cham Springer International Publishing 19.09.2025 Springer Nature B.V SpringerOpen
Schlagworte:	Analysis Applications of Mathematics Banach spaces Best proximity point Differential Geometry Existence theorems Hyperconvex metric space Mathematical and Computational Biology Mathematics Mathematics and Statistics Metric Fixed Point Theory and Its Applications Metric space Optimal pair of fixed points r-condensing operator Reflexivity Relatively u-continuous map Topology Optimal pair of fixed points continuous map 47H10 condensing operator Hyperconvex metric space 51F99 Relatively Best proximity point 54H25
ISSN:	2730-5422, 2730-5422
Online-Zugang:	Volltext
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