Existence of Solution of Minimax Inequalities, Equilibria in Games and Fixed Points Without Convexity and Compactness Assumptions

Author:

Nessah Rabia,Tian Guoqiang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference30 articles.

1. Fan, K.: Minimax inequality and applications. In: Shisha, O. (ed.) Inequality, vol. III, pp. 103–113. Academic Press, New York (1972)

2. Aubin, J.P., Ekeland, I.: Applied Nonlinear Analysis. Wiley, New York (1984)

3. Lignola, M.B.: Ky fan inequalities and Nash equilibrium points without semicontinuity and compactness. J. Optim. Theory Appl. 94, 137–145 (1997)

4. Ding, X.P., Tan, K.K.: A minimax inequality with application to existence of equilibrium points and fixed point theorems. Colloque Math. 63, 233–274 (1992)

5. Georgiev, P.G., Tanaka, T.: Vector-Valued Set-Valued variants of ky fan’s inequality. J. Nonlinear Convex Anal. 1, 245–254 (2000)

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