On the existence of solutions of variational inequalities in Banach spaces

In this paper, we study the existence of the solution of the variational inequality T x−ξ,y−x 0 by applying the generalized projection operator πK :B∗→B, where B is a Banach space with dual space B∗ and by using the well-known FanKKM Theorem.  2004 Elsevier Inc. All rights reserved.