On Best Proximity Points in Metric and Banach Spaces

DOI10.4153/CJM-2011-007-5zbMath1226.47058arXiv0911.5263OpenAlexW2964329908MaRDI QIDQ3003667

Aurora Fernández-León, Rafael Espínola

Publication date: 30 May 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5263

zbMATH Keywords

metric spaceBanach spacegeodesic metric spacecyclic contractioniterateproximity point

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (19)

Extensions of Edelstein's Theorem on Contractive Mappings ⋮ Uniform convexity, strong convexity and property UC ⋮ Best Proximity Pair Results for Relatively Nonexpansive Mappings in Geodesic Spaces ⋮ Existence and convergence of best proximity points in \( \mathrm{CAT}_\mathrm{p}(0)\) spaces ⋮ The existence of best proximity points for generalized cyclic quasi-contractions in metric spaces with the UC and ultrametric properties ⋮ Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions ⋮ Unnamed Item ⋮ Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces ⋮ Pythagorean property and best-proximity point theorems ⋮ Some new results on cyclic relatively nonexpansive mappings in convex metric spaces ⋮ Existence and uniqueness of best proximity points in geodesic metric spaces ⋮ Noncyclic Meir-Keeler contractions and best proximity pair theorems ⋮ Condensing operators of integral type in Busemann reflexive convex spaces ⋮ On coupled best proximity points and Ulam-Hyers stability ⋮ Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property ⋮ Unnamed Item ⋮ On the Structure of Minimal Sets of Relatively Nonexpansive Mappings ⋮ Best Proximity Points ⋮ Some results on best proximity points of cyclic Meir-Keeler contraction mappings

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