Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems

Abstract: In this paper, based on a double inertial extrapolation steps strategy and relaxation techniques, we introduce a new Tseng splitting method with double inertial extrapolation steps and self-adaptive step sizes for solving monotone inclusion problems in real Hilbert spaces. Finally, several numerical experiments are provided to illustrate the performance and theoretical outcomes of our algorithm.