Some results on R-KKM mappings and R-KKM selections and their applications

DOI10.1006/jmaa.1999.6302zbMath0946.47033OpenAlexW2020769045MaRDI QIDQ1288167

Ram U. Verma

Publication date: 15 October 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6302

zbMATH Keywords

fixed pointselectionKKM theoremmultivalued mapminimax inequalityH-spaceKnaster-Kuratowski-Mazurkiewicznonempty intersection

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35)

Related Items (12)

Nonempty intersection theorems in topological spaces with applications ⋮ Generalized \(R\)-KKM theorems in topological space and their applications. ⋮ Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space ⋮ On a generalized class of minimax inequalities ⋮ Solution of a class of equilibrium problems and variational inequalities in FC spaces ⋮ Generalized \(L\)-KKM type theorems in topological spaces with an application ⋮ Generalized KKM-type theorems for weakly generalized KKM mapping with some applications ⋮ System of generalized vector quasi-equilibrium problems in locally FC-spaces ⋮ \(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space ⋮ On some generalized Ky Fan minimax inequalities ⋮ The matching theorems and coincidence theorems for generalized R-KKM mapping in topological spaces ⋮ Generalized \(R\)-KKM type theorems in topological spaces with applications

Cites Work

• On some convexities
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Role of generalized KKM type selections in a class of minimax inequalities
• Convexity on a topological space
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