A resolvent method for solving mixed variational inequalities

It is well known that the mixed variational inequalities involving the nonlinear term are equivalent to the fixed-point problems. In this paper, we use this alternative equivalent formulation to suggest and analyze a new resolvent-type method for solving mixed variational inequalities. Our results can be viewed as significant extensions of the previously known results for mixed variational inequalities. An example is given to illustrate the efficiency and implementation of the proposed method.