Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces

The aim of this paper is to propose a new iterative algorithm approximate the solution for variational inequality problem in real Hilbert spaces. A strong convergence result above established under certain mild conditions. Our proposed method requires computation only one projection onto feasible set each iteration. Some numerical examples are presented support that our performs better than some known comparable methods solving problems.