Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces

DOI10.1155/2008/543154zbMath1158.54317OpenAlexW2058955259WikidataQ59216578 ScholiaQ59216578MaRDI QIDQ1008520

Ravi P. Agarwal, Donal O'Regan, A. P. Farajzadeh, Alireza Amini-Harandi

Publication date: 30 March 2009

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

Full work available at URL: https://eudml.org/doc/55239

Mathematics Subject Classification ID

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

Related Items (8)

Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces ⋮ Best and coupled best approximation theorems in abstract convex metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Common best proximity points theorems in metric spaces ⋮ A coupled best approximations theorem in normed spaces ⋮ On best approximations in hyperconvex spaces ⋮ Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces

Cites Work

• On scalar equilibrium problem in generalized convex spaces
• Best approximation and fixed point theorems in hyperconvex metric spaces
• Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
• A best approximation theorem in hyperconvex metric spaces
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Comments on some fixed point theorems in hyperconvex metric spaces.
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• A best approximation theorem for nonexpansive set-valued mappings in hyperconvex metric spaces
• Hyperconvexity and approximate fixed points
• Fixed point theorems in hyperconvex metric spaces
• Proximinal Retracts and Best Proximity Pair Theorems
• Fixed point and selection theorems in hyperconvex spaces
• Hyperconvexity and Nonexpansive Multifunctions

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