Generalized variational inequalities with weight-like vectors Original Research Article

A class of generalized vector variational inequalities with weight-like vectors over product of sets and system of generalized vector variational inequalities are considered. The relationships of solution sets among those variational inequality problems are presented. With the hemicontinuity and several kinds of generalized monotonicities with respect to a vector, several existence results for the solutions of problems mentioned above are established by fixed point theorems of set-valued mappings.