Projection Method And Auxiliary Principle For General Variational Inequalities

In this paper, we first suggest the projection method for solving general variational inequalities using the Wiener-Hopf equtions technique, and then we analyze the convergence of the algorithm. The result we get is also true for variational inequalities. We use the auxiliary principle technique to suggest a class of predictor-corrector algorithms for solving general variational inequalities. In the last, we proof the auxiliary problem has a solution, and by using the fact we suggest one simple algorithm for the variational inequalitiey under some conditions.