SOME GENERALIZED KY FAN’S INEQUALITIES

Abstract

In this paper, we generalize Ky Fan’s minimax inequality to vectorvalued function with values in a topological vector space acting on the product of two other topological vector spaces which are connected by another function. In these results, the concavity or convexity on a function is transferred to another function. And a sufficient condition for the existence of solution for a variational inclusion is given.