The Generalized Variational Inequality Problem in Banach Spaces
Wang Z. Min, Yiran He · Journal of Sichuan Normal University · 2006
In this paper,a new kind of generalized variational inequality problems GVIP′(T,K) with set-valued mappings is proposed.By employing the Fan lemma,the existence of the problem GVIP′(T,K) is proved under the cases when K is a nonempty weakly compact or closed convex set in Banach spaces.