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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Vydáno v:	AIMS mathematics Ročník 8; číslo 5; s. 12195 - 12216
Hlavní autoři:	Guan, Weibo, Song, Wen
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2023
Témata:	banach spaces convergence rate forward-backward splitting algorithm
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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