A synthetic algorithm for families of demicontractive and nonexpansive mappings and equilibrium problems

Ali Abkar, Mohsen Shekarbaigi

We study the rate of convergence of a new synthetic algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a pair of nonexpansive mappings and two finite families of demicontractive mappings. We then provide some numerical examples to illustrate our main result and the proposed algorithm.