Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators

<p style='text-indent:20px;'>In this paper, we propose a new inertial Tseng's extragradient iterative algorithm for solving variational inequality problems of pseudo-monotone and non-Lipschitz operator in real Hilbert spaces. We prove that the sequence generated by proposed converges strongly to an element solutions problem under some suitable assumptions imposed on parameters. Finally, give numerical experiments supporting our main results. The results obtained paper extend improve related works literature.</p>