Predictor–corrector methods for general mixed quasi variational inequalities

摘要

In this paper, we use the auxiliary principle technique to suggest a class of predictor–corrector methods for solving general mixed quasi variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.