Approximate fixed point theorems in Banach spaces with applications in game theory.

DOI10.1016/S0022-247X(03)00450-5zbMath1037.47038MaRDI QIDQ1410268

Jacqueline Morgan, Vincenzo Scalzo, Rodica Branzei, S. H. Tijs

Publication date: 14 October 2003

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

zbMATH Keywords

multifunctionsNash equilibriumapproximate fixed points

Mathematics Subject Classification ID

Variational inequalities (49J40) Game theory (91A99) Fixed-point theorems (47H10) Set-valued operators (47H04) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (7)

SOME APPROXIMATE COMMON FIXED POINT THEOREMS IN b-METRIC SPACES ⋮ Approximate variational inequalities and equilibria ⋮ On the approximate fixed point property in abstract spaces ⋮ On the existence of \(\varepsilon\)-fixed points ⋮ Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems ⋮ Approximate fixed points and fixed points for multi-valued almost \(E\)-contractions ⋮ Sharp estimates for approximate and exact solutions to quasi-optimization problems

Cites Work

• Convergence of solutions of quasi-variational inequalities and applications
• An introduction to \(\Gamma\)-convergence
• Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness
• Convergence of convex sets and of solutions of variational inequalities
• Well-posedness of variational problems with applications to staircase methods
• Mathematical methods of game and economic theory
• Nash Equilibria for Noncooperative n-Person Games in Normal Form
• A New Approach To Tikhonov Well-Posedness For Nash Equilibria^∗
• Equilibrium points in n -person games
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
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