S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems
1
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China
2
Center for General Education, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and Informatics, University “Politehnica” of Bucharest, 060042 Bucharest, Romania
4
Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
5
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
6
The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1517; https://doi.org/10.3390/sym11121517
Received: 24 November 2019 / Revised: 11 December 2019 / Accepted: 11 December 2019 / Published: 14 December 2019
(This article belongs to the Special Issue Advance in Nonlinear Analysis and Optimization)
In this paper, the original algorithm, the relaxed algorithm, the gradient projection method ( ) algorithm, and the subgradient projection method ( ) algorithm for the convex split feasibility problem are reviewed, and a renewed algorithm with S-subdifferential functions to solve nonconvex split feasibility problems in finite dimensional spaces is suggested. The weak convergence theorem is established.
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Keywords:
S-subgradient projection method; nonconvex; S-subdifferentiable; split feasibility problem
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
MDPI and ACS Style
Chen, J.; Postolache, M.; Yao, Y. S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems. Symmetry 2019, 11, 1517. https://doi.org/10.3390/sym11121517
AMA Style
Chen J, Postolache M, Yao Y. S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems. Symmetry. 2019; 11(12):1517. https://doi.org/10.3390/sym11121517
Chicago/Turabian StyleChen, Jinzuo; Postolache, Mihai; Yao, Yonghong. 2019. "S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems" Symmetry 11, no. 12: 1517. https://doi.org/10.3390/sym11121517
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