Existence theorems of nash equilibria for non-cooperative n-person games

In this paper, we first obtain existence theorems of Nash equilibria for non-cooperative n-person games which generalize a corresponding result of Nikaido and Isoda (1955). As applications, we give two new existence theorems of e{open}-equilibrium points which generalize that of Tijs (1981). Finally, a saddle point theorem of Komiya (1986) is deduced from one of our existence theorems of e{open}-equilibrium points