Three-step Projection Methods for Nonconvex Variational Inequalities

It is well-known that the nonconvex variational inequalities areequivalent to the xed point problems. We use this equivalent formulationto suggest and analyze some three-step iterative methods for solving the non-convex variational inequalities. We prove the convergence of the three-stepiterative methods under suitable weaker conditions. Several special cases arealso discussed. Our method of proof is very simple.