Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces

The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and pseudomonotone variational inequalities in real Hilbert spaces. A strong convergence theorem of the proposed algorithm is obtained under some appropriate assumptions imposed on the parameters. Finally, we give some numerical examples to demonstrate the performance of our algorithm.