The matching theorems in \(G\)-convex spaces with applications

DOI10.1016/J.AMC.2011.09.019zbMath1245.54043OpenAlexW2018052267MaRDI QIDQ426420

Weiping Guo, Wei Guo

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.019

zbMATH Keywords

fixed point theorem\(G\)-convex spaceminimax theoremKKM type theoremsection theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Topology of special sets defined by functions (54C50)

Cites Work

• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Generalized KKM theorem on \(H\)-space with applications
• Foundations of the KKM theory on generalized convex spaces
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• New topological versions of the Fan-Browder fixed point theorem.
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Note on KKM maps and applications
• Fixed point theorems in locally \(G\)-convex spaces
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