An elementary best proximity point theorem in metric spaces

DOI10.1007/s41478-022-00508-9WikidataQ115228020 ScholiaQ115228020MaRDI QIDQ6117976

A. Dhana Lakshmi, Sankar Raj Vaithilingam

Publication date: 23 February 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

fixed pointbest proximity point\(P\)-property\(\varepsilon\)-close mapping\(UC\)-property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• A best proximity point theorem for weakly contractive non-self-mappings
• The existence of best proximity points in metric spaces with the property UC
• A Brouwer type theorem
• A characterization of strictly convex spaces and applications
• Proximal normal structure and relatively nonexpansive mappings

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