EQUILIBRIUM EXISTENCE THEOREMS IN HADAMARD MANIFOLDS

Abstract

In this paper, we first prove a generalization of Fan-Browder type fixed point theorem for multimaps on a geodesic convex subset in a Hadamard manifold due to Kim [5], and next we will prove general existence theorems of Nash equilibrium for generalized gamesG with geodesic convex values in Hadamard manifolds.