Existence Theorems for Maximal Elements in H-Spaces with Applications on the Minimax Inequalities and Equilibrium of Games

DOI10.1515/JAA.2000.283zbMath0989.47041MaRDI QIDQ2706916

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Publication date: 1 August 2002

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

existence theoremsequilibrium\(H\)-spacesabstract economymaximal elementsqualitative gameFan-Yen minimax inequality

Mathematics Subject Classification ID

Set-valued operators (47H04) General equilibrium theory (91B50) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (2)

A new KKM theorem in \(L\)-convex spaces and some applications ⋮ A collectively fixed point theorem in abstract convex spaces and its applications

Cites Work

• Fixed points theorems for mappings with non-compact and non-convex domains
• Existence of maximal points with respect to ordered bipreference relations
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• Existence of equilibrium for abstract economies
• Equilibria of generalized games with \(L\)-majorized correspondences
• Some remarks on fixed points of lower semicontinuous multifunctions
• A theorem on semi-continuous set-valued functions
• Variatoinal inequalities and convex semi-infinite programming problems
• Some new minimax inequalities and applications to existence of equilibria in H-spaces

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