Note on KKM maps and applications

DOI10.1155/FPTA/2006/53286zbMath1099.54031WikidataQ59212707 ScholiaQ59212707MaRDI QIDQ2491502

Yanyan Li

Publication date: 29 May 2006

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

Full work available at URL: https://eudml.org/doc/52802

zbMATH Keywords

Fan's minimax theoremKy Fan's coincidence theoremFan-Browder's fixed-point theoremvon Neumann's minimax principle

Mathematics Subject Classification ID

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

Related Items (6)

The matching theorems in \(G\)-convex spaces with applications ⋮ Common fixed points of weakly contractive and strongly expansive mappings in topological spaces ⋮ Coupled fixed points of weakly \(F\)-contractive mappings in topological spaces ⋮ Monotone type operators in nonreflexive Banach spaces ⋮ Fixed point theorems for weakly \(F\)-contractive and strongly \(F\)-expansive mappings ⋮ A class of generalized operator equilibrium problems

Cites Work

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• On general minimax theorems
• Contractibility and generalized convexity
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Generalized KKM theorem and variational inequalities
• Some further generalizations of Ky Fan's minimax inequality and its applications to variational inequalities
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Applications of a theorem concerning sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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