KKM-type theorems for best proximity points

DOI10.1016/j.aml.2011.09.044zbMath1296.47043OpenAlexW2028630591MaRDI QIDQ427655

J. Herrera, H. S. Yoon

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.044

zbMATH Keywords

fixed pointnormed linear spacemultivalued mappingbest proximity pointFan-Browder multivalued fixed point theoremproximal pairsR-KKM mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Fixed point theorems in CAT(0) spaces with applications, Study of equilibrium problem in Hadamard manifolds by extending some concepts of nonlinear analysis, Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Existence of best proximity pairs and equilibrium pairs
• The computation of fixed points and applications
• Best proximity pair theorems for multifunctions with open fibres
• On existence of equilibrium pair for constrained generalized games
• On general best proximity pairs and equilibrium pairs in free abstract economies
• The fixed point theory of multi-valued mappings in topological vector spaces
• Proximinal Retracts and Best Proximity Pair Theorems
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