Journal of Optimization Theory and Applications

, Volume 94, Issue 1, pp 137-145

First online:

Ky Fan Inequalities and Nash Equilibrium Points without Semicontinuity and Compactness

  • M. B. LignolaAffiliated withDipartimento di Matematica e Applicazioni “R. Caccioppoli,”

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In this paper, a Ky Fan inequality without compactness and semicontinuity assumptions is proved. The inequality is next applied in order to obtain existence results for Nash equilibrium points for two-person games in topological vector spaces and in reflexive Banach spaces.

Ky Fan inequalities Nash equilibrium points existence theorems