An Inertial-Like Algorithm for Solving Common Fixed Point Problems of a Family of Continuous Pseudocontractive Mappings
H. H. Gidey, Habtu Zegeye, Oganeditse A. Boikanyo, Dintle N. Kagiso, Yirga Abebe Belay · Numerical Functional Analysis and Optimization · 2023
In this paper, it is our purpose to introduce an inertial-like algorithm for approximating common fixed points of continuous pseudocontractive mappings in the framework of real Hilbert spaces. We prove strong convergence theorems for the sequence generated by the algorithm under certain conditions on the control sequences. We also provide numerical examples to demonstrate the efficiency of our algorithm.