A modified inexact implicit method for mixed variational inequalities

MSC: 65K10 90C25 90C30 Keywords: Mixed variational inequalities Implicit methods Resolvent operator Inexact methods Self-adaptive rules a b s t r a c t In this paper, we suggest and analyze an inexact implicit method with a variable parameter for mixed variational inequalities by using a new inexactness restriction. Under certain conditions, the global convergence of the proposed method is proved. Some preliminary computational results are given to illustrate the efficiency of the new inexactness restriction. The results proved in this paper may be viewed as improvement and refinement of the previously known results.