Continuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces

DOI10.1016/S0898-1221(02)00132-3zbMath1017.54012MaRDI QIDQ1609163

Xie Ping Ding, Jong Yeoul Park

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

minimaxfixed pointequilibriumcoincidencecontinuous selectionset-valued map\(L\)-convex space

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Axiomatic and generalized convexity (52A01) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (7)

The Yannelis-Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications ⋮ A new KKM theorem in \(L\)-convex spaces and some applications ⋮ Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions ⋮ Continuous selection, collectively fixed points and system of coincidence theorems in product topological spaces ⋮ On the existence of mixed strategy Nash equilibria ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ System of coincidence theorems in product topological spaces and applications. I

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