The iterations for variational inequalities and nonexpansive mapping
Dao-Jun Wen · Journal of Chongqing Technology and Business University · 2008
In this paper,a class of variational inequalities and Wiener-Hopf equations are introduced, which involve nonexpansive operators.The alternative equivalent formulations is deduced by using the projection technique.A iterative method is proposed for finding the common element of the set of the nonexpansive map- pings' fixed points and the variational inequalities' solution.The convergence criteria of the iterative method is proved under some mild conditions.The results in this paper may be viewed as an improvement and refinement of the previously known results for variational inequalities.