Weakly \(G\)-KKM mappings, \(G\)-KKM property, and minimax inequalities

DOI10.1016/j.jmaa.2004.02.013zbMath1053.54028OpenAlexW2029227930MaRDI QIDQ596711

Mircea Balaj

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.013

zbMATH Keywords

minimax inequalities\(G\)-convex spaceKKM propertyKKM mappingweakly \(G\)-KKM mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35)

Related Items (13)

Intersection theorems with applications in optimization ⋮ Weak KKM set-valued mappings in hyperconvex metric spaces ⋮ A new fixed point theorem and applications ⋮ Intersection theorems for generalized weak KKM set‐valued mappings with applications in optimization ⋮ Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space ⋮ Weak KKM theorems in generalized finitely continuous space with applications ⋮ Weak-equilibrium problems in \(G\)-convex spaces ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Remarks on weakly KKM maps in abstract convex spaces ⋮ Weakly \(R\)-KKM mappings-intersection theorems and minimax inequalities in topological spaces ⋮ Generalized KKM-type theorems for weakly generalized KKM mapping with some applications ⋮ \(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space ⋮ Intersection theorems for weak \(KKM\) set-valued mappings in the finite dimensional setting

Cites Work

• Contractibility and generalized convexity
• On a form of KKM principle and SupInfSup inequalities of von Neumann and of Ky Fan type
• Extension and selection theorems in topological spaces with a generalized convexity structure
• KKM property and fixed point theorems
• Generalizations of Ky Fan's matching theorems and their applications
• A minimax theorem for marginally upper/lower semicontinuous functions
• Some selection theorems without convexity
• On a Minimax Inequality of KY Fan
• Comparison Theorems on Minimax Inequalities, Variational Inequalities, and Fixed Point Theorems
• Fixed point theorems in locally \(G\)-convex spaces
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