Abstract: A new class of nonlinear Wiener-Hopf equations with a nonexpansive mappings is introduced.The equivalence between the Wiener-Hopf equations and nonconvex variational inequality is established to analyze an iterative scheme for finding a common element of the set of solutions of the nonconvex variational inequality and the set of fixed points of nonexpansive mappings.The convergence analysis of the approximation methods is also cosidered under some suitable conditions.