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

被引：0

作者：

Guan, Weibo ^{[1
]}

Song, Wen ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 05期

关键词：

convergence rate; forward-backward splitting algorithm; Banach spaces; FORWARD-BACKWARD; SIGNAL RECOVERY; SUM;

D O I：

10.3934/math.2023615

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：12195 / 12216

页数：22

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