... essential, and the Brouwer fixed point theorem. In the present paper, we introduce a generalized form of the Fan-Browder fixed pointtheorem, which is the main tool of our work. Using this theorem instead ... treatment of a wide range of coincidence and fixed pointtheory, minimax theory, variational inequalities, monotone oper ators, and game theory.Since then, this result is known as the Fan-Browder ... topology on the convex hulls of any N∈D; see Lassonde [5]andPark[7]. If X = D is convex, thenX = (X,X) becomes a convex space in the sense of Lassonde [4]. The following version of the KKM theorem...