ON SYSTEM OF STRONGLY IMPLICIT VECTOR VARIATIONAL INEQUALITIES

Abstract

In this paper, we consider and analyze two systems of implicit vector general variational inequalities in the topological vector spaces. We also prove the existence results for these systems of variational inequalities under some mild conditions. Since the systems of vector general variational inequalities include the variational inequalities and general complementarity problems as special cases, our result continue to hold for these problems. Results obtained in this paper may viewed as a refinement and improvement of the previous known
results in this field.