Inertial modified Tseng’s extragradient algorithms for solving monotone variational inequalities and fixed point problems
Journal of Nonlinear Functional Analysis · 2020
For solving monotone variational inequalities and fixed point problems of a quasi-nonexpansive mapping in real Hilbert spaces, we introduce two new algorithms which combine the inertial Tseng's extragradient method and the hybrid-projection method, respectively.Weak and strong convergence theorems are established under some appropriate conditions.Finally, we provide some numerical experiments to show the effectiveness and advantages of the proposed algorithms.