Abstract: A class of variational inequalities including non2expansive mapp ings andWiener2Hopf equation are introduced, based on p rojection technique, the equivalence relation between the two is deduced. On the basis of this equivalence relation, an iterative algorithm for synchronously solving non2expansive mapp ings’ fixed points and variational inequalities is p roposed. Under the p roper condition, the strong convergence of this iterative algorithm is p roven, and the corresponding conclusions generalize some new results in this field.