Best proximity points and stability results for controlled proximal contractive set valued mappings

DOI10.1186/s13663-016-0510-yzbMath1347.54075OpenAlexW2289659634WikidataQ59438158 ScholiaQ59438158MaRDI QIDQ269990

Hassen Aydi, Abdelbasset Felhi

Publication date: 6 April 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0510-y

zbMATH Keywords

stabilitybest proximity pointcontrolled proximal contractionPompeiu-Hausdorff \(b\)-metric-like

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces, Best proximity point theorems for a Berinde MT-cyclic contraction on a semisharp proximal pair, A new best approximation result in \((S)\) convex metric spaces, Unnamed Item, Best proximity point theorems on rectangular metric spaces endowed with a graph

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