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

DOI10.1186/S13660-021-02660-5zbMath1495.47085OpenAlexW3185517428MaRDI QIDQ2072909

Yumnam Rohen, Laishram Shanjit

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02660-5

zbMATH Keywords

fixed pointbest proximity pointcyclic \(T\)-regular setKrasnoselskii's iterationproximal parallel pair

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Cites Work

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• Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
• On some fixed point theorems on uniformly convex Banach spaces
• Seminormal structure and fixed points of cyclic relatively nonexpansive mappings
• A note on the boundedness of sublinear operators on grand variable Herz spaces
• Best Proximity Point Theorems for Asymptotically Relatively Nonexpansive Mappings
• A new approach to relatively nonexpansive mappings
• Chebyshev center, best proximity point theorems and fixed point theorems
• Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits
• Proximal normal structure and relatively nonexpansive mappings

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