A New Multi-Step Iterative Algorithm for Approximating Common Fixed Points of a Finite Family of Multi-Valued Bregman Relatively Nonexpansive Mappings

Abstract

In this article, we introduce a new multi-step iteration for approximating a common fixed point of a finite class of multi-valued Bregman relatively nonexpansive mappings in the setting of reflexive Banach spaces. We prove a strong convergence theorem for the proposed iterative algorithm under certain hypotheses. Additionally, we also use our results for… (More)
DOI: 10.3390/a9020037

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Cite this paper

@article{Kumam2016ANM, title={A New Multi-Step Iterative Algorithm for Approximating Common Fixed Points of a Finite Family of Multi-Valued Bregman Relatively Nonexpansive Mappings}, author={Wiyada Kumam and Pongsakorn Sunthrayuth and Phond Phunchongharn and Khajonpong Akkarajitsakul and Parinya Sa Ngiamsunthorn and Poom Kumam}, journal={Algorithms}, year={2016}, volume={9}, pages={37} }