Resolvent Dynamical Systems Technique for Mixed General Variational Inequalities

In this paper, we introduce new second order dynamical system approach for solving a class of mixed general variational inequalities. Using the forward finite difference schemes, we suggest some multi-step iterative methods for solving the mixed variational inequalities. Convergence analysis is investigated under certain mild conditions. Some special cases are discussed as applications of the results. It is an interesting problem to compare these methods with other technique for solving mixed variational inequalities and related optimizations.