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Volume 2020

A damped algorithm for minimum-norm solution of the proximal split feasibility problem -by Caifen Zhang and Jinzuo Chen

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Abstract: The aim of the paper is to introduce an iterative algorithm for finding the least norm solution of the proximal split feasibility problem. We present a damped algorithm from which strong convergence theorem is obtained in Hilbert spaces. We apply this algorithm to solve split equilibrium problem. Numerical example is included.

Keywords: Proximal split feasibility problem; damped algorithm; minimum-norm; strong convergence.

DOI: 10.30697/rfpta-2019-037

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How to cite this article: Caifen Zhang and Jinzuo Chen, A damped algorithm for minimum-norm solution of the proximal split feasibility problem, Res. Fixed Point Theory Appl.,Volume 2020, Article ID 2019037, 14 pages, 2020. DOI: https://doi.org/10.30697/rfpta-2019-037

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Copyright © 2020 SUMA Publishing Group., This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.