GENERALIZED VECTOR VARIATIONAL-INEQUALITIES

In this paper, we introduce a generalized vector variational inequalit y problem (GVVIP) which extends and unifies vector variational inequal ities as well as classical variational inequalities in the literature. The concepts of generalized C-pseudomonotone and generalized hemicont inuous operators are introduced. Some existence results for GVVIP are obtained with the assumptions of generalized C-pseudomonotonicity and generalized hemicontinuity. These results appear to be new and interes ting. New existence results of the classical variational inequality ar e also obtained.