Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces

DOI10.1155/2008/648985zbMath1158.54311OpenAlexW2040437282WikidataQ59217225 ScholiaQ59217225MaRDI QIDQ1008517

Donal O'Regan, Ravi P. Agarwal, 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/55238

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60)

Related Items (4)

Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems ⋮ Unnamed Item ⋮ Common fixed points of \(\alpha_\ast\)-\(\psi\)-contractive without order closed multi-valued mappings ⋮ Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions

Cites Work

• Existence of best proximity pairs and equilibrium pairs
• Corrigendum to ``Existence of best proximity pairs and equilibrium pairs [J. Math. Anal. Appl. 316, 433--446 (2006)]
• Comments on some fixed point theorems in hyperconvex metric spaces.
• On best proximity pair theorems and fixed-point theorems
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• Hyperconvexity and approximate fixed points
• Proximinal Retracts and Best Proximity Pair Theorems

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