With Type (m) Operator Variational Inequalities And Applications

In this paper N denotes a real reflexive Banacli space, K C N is bounded, closed and convex. Applying some results of IKIKM mapping and Gwinner抯 theorems ( cf.[1] ), we prove the existance of a solution of the variational inequality problems involving the operator of type (lvi): whether or not. there exist.s a. u ~ K for Vf ~ X* such that for 憌 C Ta. we have (w ?f, v ?a.) > 0. From this we discuss its application at last.