BEST PROXIMITY POINT THEOREMS FOR CYCLIC QUASI-CONTRACTION MAPS IN UNIFORMLY CONVEX BANACH SPACES

DOI10.1017/S0004972716000708zbMath1452.90318OpenAlexW2530289537MaRDI QIDQ2986581

Vo Thi Le Hang, Nguyen Van Dung

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000708

zbMATH Keywords

uniformly convex Banach spacebest proximity pointcyclic quasi-contraction

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions

Cites Work

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• Some results on best proximity points
• Remarks on cyclic contractions in \(b\)-metric spaces and applications to integral equations
• Existence and convergence of best proximity points
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Best proximity points: approximation and optimization
• Best proximity point theorems via proximal non-self mappings
• Best proximity point theorems for cyclic strongly quasi-contraction mappings

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