ITERATIVE ALGORITHM AND CONVERGENCE ANALYSIS FOR SYSTEMS OF VARIATIONAL INEQUALITIES

Abstract

The aim of this paper is to study several classes of problems of systems of variational inequalities and variational inclusions in Hilbert spaces and Banach spaces, re- spectively. We obtain several existence theorems for systems of variational inequalities and variational inclusions and give the corresponding iterative algorithms together with the con- vergence analysis. The above results are based on the method of three-step projection and the resolvent operator technique. Our works are valuable supplements to [4, 6, 7, 12, 14-16] and relevant literatures.