A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence

被引：0
|
作者：
Yekini Shehu
Lulu Liu
Qiao-Li Dong
Jen-Chih Yao
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Civil Aviation University of China,College of Science
[3] China Medical University,Center for General Education
来源：
Networks and Spatial Economics | 2022年 / 22卷
关键词：
Forward-backward-forward splitting; Alternated inertial step; Weak convergence; Linear convergence; Hilbert spaces; 47H05; 47J20; 47J25; 65K15; 90C25;
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学科分类号：
摘要：
We study the forward-backward-forward splitting method with alternated inertial step in this paper. We consider under-relaxation and over-relaxation approaches to the proposed method and obtain weak convergence results in both cases in real Hilbert spaces. Linear convergence alongside priori and apriori error estimates are obtained under some standard assumptions. Finally, we give some numerical implementations and comparisons to support the theoretical analysis.
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页码：959 / 990
页数：31
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