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Mathematics 2019, 7(2), 145; https://doi.org/10.3390/math7020145

An Iterative Approach to the Solutions of Proximal Split Feasibility Problems

1,2
and
3,*
1
The Key Laboratory of Intelligent Information and Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China
2
Health Big Data Research Institute of North Minzu University, Yinchuan 750021, China
3
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
*
Author to whom correspondence should be addressed.
Received: 10 January 2019 / Revised: 25 January 2019 / Accepted: 28 January 2019 / Published: 3 February 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
Full-Text   |   PDF [230 KB, uploaded 3 February 2019]

Abstract

The proximal split feasibility problem is investigated in Hilbert spaces. An iterative procedure is introduced for finding the solution of the proximal split feasibility problem. Strong convergence analysis of the presented algorithm is proved. View Full-Text
Keywords: proximal operators; Moreau–Yosida regularization; proximal split feasibility problem; iterative procedure proximal operators; Moreau–Yosida regularization; proximal split feasibility problem; iterative procedure
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 (CC BY 4.0).
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Zhu, L.-J.; Yao, Y. An Iterative Approach to the Solutions of Proximal Split Feasibility Problems. Mathematics 2019, 7, 145.

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