Pseudomonotone general mixed variational inequalities

摘要

In this paper, we use the resolvent equations and the auxiliary principle techniques to suggest a class of iterative resolvent methods for solving general mixed variational inequalities. The convergence of the proposed methods only requires the pseudomonotonicity of the operator, which is weaker than monotonicity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems.