Hybrid D-iteration process for equilibrium problem and fixed points of asymptotically nonexpansive mappings

Source abstract

In this paper, we introduce a hybrid D-iteration process with inertial extrapolation method for two asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space. Strong convergence of the proposed scheme is established. Our results extend and improve some recently announced results in the literature. With numerical example, it is shown that the proposed iterative scheme has faster rate of convergence than inertial hybrid algorithm studied by Harbau and Ahmad [12].