Double Projection Algorithm For Pseudomonotone Variational Inequalities

First,a new hyperplane that strictly separates the current iteration point from the solution set is constructed,and a double projection algorithm for the singlevalued variational inequality is proposed.Under the assumption that the mapping is continuous and pseudomonotone,we can get the global convergence of the algorithm.The convergence rate of the algorithm is obtained under an assumption of error bound.Then,we extend the double projection algorithm to set-valued variational inequality.