REGULARIZED HEMIVARIATIONAL INEQUALITIES

Abstract

In this paper, we introduce and study a new class of variational inequalities, known as regularized hemivariational inequality in the setting of nonconvexity. We use the auxiliary principle technique to suggest and analyze some iterative schemes for regularized hemivariational inequalities. We prove the convergence of these iterative methods under some mild conditions. As special cases, we obtain earlier results for solving hemivariational inequalities involving the convex sets.