Three-step methods for nonexpansive mappings and variational inequalities

In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of a nonexpansive mappings and the set of solutions of the variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results include the previous results as special cases and may be considered as an improvement and refinement of the previously known results.