Nonconvex proximal normal structure in convex metric spaces

DOI10.1215/17358787-3495759zbMath1335.54042OpenAlexW2341509090MaRDI QIDQ277369

Moosa Gabeleh, Olivier Olela Otafudu

Publication date: 29 April 2016

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1461091166

zbMATH Keywords

\(T\)-regular reflexive pairbest proximity pairnonconvex proximal normal structurestrictly convex metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Related Items (2)

Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces ⋮ Best proximity point theorems for supreme proximal contractions

Cites Work

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• On some fixed point theorems on uniformly convex Banach spaces
• Semi-normal structure and best proximity pair results in convex metric spaces
• On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
• Best Proximity Pair Results for Relatively Nonexpansive Mappings in Geodesic Spaces
• A convexity in metric space and nonexpansive mappings. I.
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Proximal normal structure and relatively nonexpansive mappings

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