Banach operator pairs and common fixed points in hyperconvex metric spaces

DOI10.1016/j.na.2011.05.072zbMath1235.54037OpenAlexW2005205778MaRDI QIDQ640118

Nawab Hussain, Mohamed Amine Khamsi, Abdul Latif

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.072

zbMATH Keywords

fixed pointnonexpansive mappinginvariant approximationBanach operator pairhyperconvex metric space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Special maps on metric spaces (54E40)

Related Items (10)

Banach operator pairs and common fixed points in modular function spaces ⋮ On externally complete subsets and common fixed points in partially ordered sets ⋮ Some common coupled fixed point results for generalized contraction in complex-valued metric spaces ⋮ Common fixed point and approximation results for generalized \((f, g)\)-weak contractions ⋮ Nonexpansive retracts and weak compatible pairs in metric spaces ⋮ One-local retracts and Banach operator pairs in metric spaces ⋮ Some common fixed point theorems in partially ordered sets ⋮ \(\mathcal{J} \mathcal{H}\)-operator pairs with application to functional equations arising in dynamic programming ⋮ Existence of common fixed points using Bregman nonexpansive retracts and Bregman functions in Banach spaces ⋮ Common fixed point and invariant approximation results

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