AN EFFICIENT METHOD FOR SOLVING NEW GENERAL MIXED VARIATIONAL INEQUALITIES

The mixed variational inequality containing a nonlinear term phi is a generalization of classical variational inequality. The authors have introduced a new class of inequalities namely the class of general mixed variational inequalities. By using the resolvent operator concept, the equivalence between general mixed variational inequalities and resolvent operator techniques has been established. From this equivalence formulation, a new self-adaptive method for solving general mixed variational inequalities is suggested. Furthermore, the convergence of proposed method is studied. Results of this study can be analyzed as extension of the previous results for mixed variational inequalities.