Existence of best proximity points for controlled proximal contraction

DOI10.1186/S13663-015-0455-6zbMath1347.54093OpenAlexW2175170791WikidataQ59427273 ScholiaQ59427273MaRDI QIDQ288138

Quanita Kiran, Muhammad Usman Ali, Erdal Karapınar, Tayyab Kamran

Publication date: 24 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0455-6

zbMATH Keywords

stabilitybest proximity pointsnon-self-multivalued mappings

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)

Related Items (2)

Best proximity points and stability results for controlled proximal contractive set valued mappings ⋮ Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings

Cites Work

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• Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces
• Best proximity points for cyclic Meir-Keeler contractions
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• Extensions of two fixed point theorems of F. E. Browder
• Multi-valued contraction mappings

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