An algorithm for approximating a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings

Abstract

The purpose of this paper is twofold. We first give erratum to a proof given by Woldeamanuel et al. [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, Adv. Fixed Point Theory, 5 (2015), No. 2, 228-253]. In addition, we study an algorithm which approximates a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings under appropriate conditions.