Non-convex proximal pair and relatively nonexpansive maps with respect to orbits

Abstract Every non-convex pair ( C , D ) $(C, D)$ may not have proximal normal structure even in a Hilbert space. In this article, we use cyclic relatively nonexpansive maps with respect to orbits to show the presence of best proximity points in C ∪ D $C\cup D$ , where C ∪ D $C\cup D$ is a cyclic T-...

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Bibliographic Details
Main Authors: Laishram Shanjit, Yumnam Rohen
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02660-5