MULTIVALUED REGULARIZED VARIATIONAL INEQUALITIES

Abstract

In this paper, we use the auxiliary principle technique to suggest some iterative methods for solving multivalued regularized variational inequalities. The convergence of the proposed methods requires either the pseudomonotonicity of the operator or partially relaxed strongly monotonicity. As special cases, we obtain a number of known and new results for solving various classes of regularized variational inequalities and related optimization problems.