Existence of a Solution for GeneralizedVector Variational Inequalities 1

It is known that vector variational inequality models arises from vector optimization and vector traac equilibria. In this paper, existence results of a solution for a generalized pre-vector variational inequality and a generalized pre-quasi-vector variational inequality are established. The main condition used is that the underlying vector-valued function is assumed to be cone-quasi-convex. The main techniques employed are a nonlinear scalarization and xed point theorems.