An Interior Projected-Like Subgradient Method for Mixed Variational Inequalities

Abstract EN

An interior projected-like subgradient method for mixed variational inequalities is proposed in finite dimensional spaces, which is based on using non-Euclidean projection-like operator.

Under suitable assumptions, we prove that the sequence generated by the proposed method converges to a solution of the mixed variational inequality.

Moreover, we give the convergence estimate of the method.

The results presented in this paper generalize some recent results given in the literatures.