INERTIAL PROXIMAL METHOD FOR MIXED QUASI VARIATIONAL INEQUALITIES

Abstract

In this paper, we use the auxiliary principle technique to suggest and analyze an inertial proximal method for a class of mixed quasi variational inequalities. We have shown that the convergence of the proposed method requires only pseudomonotonicity, which is a weaker condition than monotonicity. The proposed method includes the classical proximal method as a special case. Since the mixed quasi variational inequalities include variational and complementarity problems as special cases, the result proved in this paper continue to hold for these problems.