TWO NEW PROJECTION ALGORITHMS FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES

Abstract

In this paper, two new projection-type algorithms arc introduced for solving pseudomonotone variational inequalities in real Hilbert spaces. The proposed methods use two non-monotonic step sizes allowing them to work adaptively without the prior information of the Lipschitz constant of the operator. Strong convergence theorems for the proposed methods are established under suitable conditions. A fundamental numerical example is given to verify the efficiency of the suggested methods in comparison with some known ones.