%0 Journal Article %T Three-step Projection Methods for Nonconvex Variational Inequalities %A Muhammad Aslam Noor %J Albanian Journal of Mathematics %D 2010 %I AulonaPress %X 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. %K variational inequalities %K nonconvex sets %K iterative methods %K projection. %U http://journals.aulonapress.com/index.php/ajm/article/view/303/336