New existence theorems for maximal elements in noncompact \(H\)-spaces with applications to equilibrium of games

DOI10.1016/S0898-1221(00)85019-1zbMath0972.91005MaRDI QIDQ1591933

Xian Wu

Publication date: 14 January 2001

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

zbMATH Keywords

qualitative gameH-spaceW-correspondenceW-majorized correspondence

Mathematics Subject Classification ID

Noncooperative games (91A10) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

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• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Fixed points theorems for mappings with non-compact and non-convex domains
• Generalized KKM theorem on \(H\)-space with applications
• Equilibrium in abstract economies without ordered preferences
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• A new existence theorem of maximal elements in non-compact \(H\)-spaces with applications to minimax inequalities and variational inequalities
• Existence of equilibrium for abstract economies
• Equilibria of generalized games with \(L\)-majorized correspondences
• Some remarks on fixed points of lower semicontinuous multifunctions
• A fixed point theorem and existence of equilibrium for abstract economies
• Some new minimax inequalities and applications to existence of equilibria in H-spaces

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