Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces

Consider the problem of minimizing the sum of two convex functions, one being smooth and the other non-smooth in Banach space. In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem. We establish different convergence estimates under dif...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 8; no. 5; pp. 12195 - 12216
Main Authors:	Guan, Weibo, Song, Wen
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2023
Subjects:	banach spaces convergence rate forward-backward splitting algorithm
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Summary:	Consider the problem of minimizing the sum of two convex functions, one being smooth and the other non-smooth in Banach space. In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem. We establish different convergence estimates under different stepsize assumptions.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2023615