Generalizations of the Fan-Browder fixed point theorem and minimax inequalities

Mircea Balaj and Sorin Muresan

Department of Mathematics, University of Oradea, 3700 Oradea, Romania


In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.

AMSclassification. 54H25, 54C60, 49J35.

Keywords. Map, fixed point, local intersection property, minimax inequality.