A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities

Abstract In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of real Hilbert space. The proposed scheme is basically analogous extragradient used problems spaces. strong convergence algorithm set up prior knowledge Lipschitz’s constant an operator. Finally, several computational experiments are listed show applicability efficiency algorithm.