Some iterative methods for general nonconvex variational inequalities

In this paper, we suggest and analyze some three-step iterative methods for solving general nonconvex variational inequalities using the technique of updating the solution. We show that the convergence of these iterative methods requires only the partially relaxed strongly monotonicity which is a weaker condition than cocoerciveness. We are also discuss several special cases. Our method of proof is very simple compared with other techniques.