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.

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