MINIMAX INEQUALITIES FOR VECTOR-VALUED MAPPINGS ON W-SPACES

The topological KKM theorem of Chang et al. is slightly modified. By u sing our topological KKM theorem, we obtain a generalized section theo rem and a generalized fixed point theorem on W-spaces which do not hav e any linear structure, and establish minimax inequalities for vector- valued mappings in Hausdorff topological vector spaces with closed poi nted convex cones. (C) 1996 Academic Press, Inc.