摘要：In this paper, we introduce a new extragradientalgorithm for solving variational inequality problems involving pseudomontone with Lipschitz continuous operators. Thealgorithm which combines the inertial technique and theextragradient algorithm. We show that the algorithm is globallyconvergence without any knowledge of the Lipschitz constantof the mapping. Besides, linear convergence is guaranteedunder additional strong pseudo-monotonicity. Finally, comparedwith other algorithms, the numerical results indicate that ouralgorithm has a better behavior.
