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

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 apr...

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Bibliographic Details
Published in:	Networks and spatial economics Vol. 22; no. 4; pp. 959 - 990
Main Authors:	Shehu, Yekini, Liu, Lulu, Dong, Qiao-Li, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2022 Springer Nature B.V
Subjects:	Algorithms Civil Engineering Convergence Economic activity Economics Economics and Finance Hilbert space Methods Operations Research/Decision Theory Regional/Spatial Science Weak convergence Alternated inertial step Linear convergence 65K15 47J20 90C25 Forward-backward-forward splitting Hilbert spaces 47H05 47J25
ISSN:	1566-113X, 1572-9427
Online Access:	Get full text
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