Fixed points, maximal elements and equilibria of generalized games

DOI10.1016/0362-546X(95)00183-VzbMath0869.90092OpenAlexW2093129444MaRDI QIDQ5689169

Kok-Keong Tan, Ghanshyam B. Mehta, George Xian-Zhi Yuan

Publication date: 20 February 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00183-v

zbMATH Keywords

fixed point theoremslocally convex topological vector spaces\(\Psi\)-condensing maps

Mathematics Subject Classification ID

Games with infinitely many players (91A07) Fixed-point theorems (47H10)

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Cites Work

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• Equilibrium and quasi-equilibrium existence theorems for a general model without ordered preferences
• Continuous selections. I
• On the existence of equilibria in economies with an infinite dimensional commodity space
• Existence of maximal elements and equilibria in linear topological spaces
• On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• Fixed point theorems for multivalued noncompact acyclic mappings
• An equilibrium existence theorem for a general model without ordered preferences
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• On the approximation of upper semi-continuous correspondences and the equilibria of generalized games
• Fixed-point theorems for multivalued noncompact inward maps
• Fixed points in locally convex spaces
• The fixed point index for local condensing maps
• Maximal elements of condensing preference maps
• A minimax inequality with applications to existence of equilibrium points
• Coincidence theorems, minimax theorems, and variational inequalities
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces