On best proximity points of upper semicontinuous multivalued mappings

DOI10.1186/s13663-015-0489-9zbMath1338.47058OpenAlexW2236522558WikidataQ59480580 ScholiaQ59480580MaRDI QIDQ269940

Ghada AlNemer, Naseer Shahzad, Jack T. Markin

Publication date: 6 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0489-9

zbMATH Keywords

fixed pointmultivalued mappingbest proximity pointrelatively \(u\)-continuous mappingupper semicontinuous mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (1)

Condensing mappings and best proximity point results

Cites Work

• Some results on fixed and best proximity points of multivalued cyclic self-mappings with a partial order
• The existence of best proximity points for multivalued non-self-mappings
• Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
• Global optimal solutions of noncyclic mappings in metric spaces
• Some results on best proximity points of cyclic contractions in probabilistic metric spaces
• On best proximity pair theorems for relatively \(u\)-continuous mappings
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• Best proximity sets and equilibrium pairs for a finite family of multimaps
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• Best proximity pair and coincidence point theorems for nonexpansive set-valued maps in Hilbert spaces
• A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa
• Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces
• Fixed point theory for cyclic weak \(\phi\)-contraction
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• Fixed points for Kakutani factorizable multifunctions
• Best proximity pair theorems for relatively nonexpansive mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• Proximal normal structure and relatively nonexpansive mappings

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