Generalized \(R\)-KKM type theorems in topological spaces with applications

DOI10.1016/j.aml.2005.02.022zbMath1083.54532OpenAlexW2000013137MaRDI QIDQ812718

Jen-Chih Yao, Xie Ping Ding, Yeong-Cheng Liou

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.022

zbMATH Keywords

topological spacematching theorem\(R\)-KKM mapping with compactly open values\(R\)-KKM theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Generalized KKM type theorems in FC-spaces with applications. I ⋮ Generalized KKM theorems on hyperconvex metric spaces and some applications ⋮ Generalized constrained multiobjective games in locally \(FC\)-uniform spaces ⋮ New generalized \(R\)-\(KKM\) type theorems in general topological spaces and applications ⋮ The generalized game and the system of generalized vector quasi-equilibrium problems in locally \(FC\)-uniform spaces ⋮ Coincidence theorem for admissible set-valued mappings and its applications in \(FC\)-spaces ⋮ Minimax inequalities and fixed points of expansive set-valued mappings with noncompact and nonconvex domains and ranges in topological spaces ⋮ Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally \(FC\)-uniform spaces ⋮ On some generalized Ky Fan minimax inequalities ⋮ Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces

Cites Work

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• Some results on R-KKM mappings and R-KKM selections and their applications
• The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications
• Foundations of the KKM theory on generalized convex spaces
• Generalized \(R\)-KKM theorems in topological space and their applications.
• Generalized G-KKM theorems in generalized convex spaces and their applications
• Generalized \(L\)-KKM type theorems in \(L\)-convex spaces with applications
• G-H-KKM type theorems and their applications to a new class of minimax inequalities
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Generalized G-H-convexity and minimax theorems in G-H-spaces
• Coincidence theorems and equilibria of generalized games
• G-KKM theorem, minimax inequalities and saddle points

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