Self-adaptive inertial extragradient algorithms for solving variational inequality problems

In this paper, we study the strong convergence of two Mann-type inertial extragradient algorithms, which are devised with a new step size, for solving variational inequality problem monotone and Lipschitz continuous operator in real Hilbert spaces. Strong theorems our algorithms proved without prior knowledge constant operator. Finally, provide some numerical experiments to illustrate performances proposed comparison related ones.