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Keywords = Douglas–Rachford splitting method with linearization

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13 pages, 311 KB  
Article
Douglas–Rachford Splitting Method with Linearization for the Split Feasibility Problem
by Ziyue Hu, Qiaoli Dong, Yuchao Tang and Michael Th. Rassias
Symmetry 2022, 14(3), 537; https://doi.org/10.3390/sym14030537 - 6 Mar 2022
Cited by 2 | Viewed by 3003
Abstract
The aim of this article is to introduce the Douglas–Rachford splitting method with linearization to solve the split feasibility problem (SFP). Our proposed method includes two existing methods in work of Tang et al. and Wang as special cases. The ranges of the [...] Read more.
The aim of this article is to introduce the Douglas–Rachford splitting method with linearization to solve the split feasibility problem (SFP). Our proposed method includes two existing methods in work of Tang et al. and Wang as special cases. The ranges of the parameters in work of Tang et al. are extended from (0,1) to (0,2). Under standard conditions, we prove the weak convergence of proposed algorithms. We also provide two numerical experiments to illustrate the effectiveness of the proposed algorithm by comparing the algorithms in work of Tang et al. and Wang. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Analysis and Fixed Point Theory)
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