CONVERGENCE ANALYSIS OF REFLECTED FORWARD-BACKWARD ALGORITHM WITH EXTRAPOLATION

被引：0

作者：

Cao, Yu ^{[1
]}

Wang, Yuanheng ^{[1
]}

Shehu, Yekini ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 01期

关键词：

Monotone inclusions; monotone operator; cocoercive; forward-backward method; reflected forward-backward algorithm; INERTIAL PROXIMAL METHOD; MONOTONE INCLUSIONS; SPLITTING ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the inertial technique, we propose an inertial type splitting algorithm for finding a zero point of the sum of three operators, involving a maximally monotone, a monotone-Lipschitzian and a cocoercive. Under some mild conditions, we establish the weak convergence of the proposed algorithm in Hilbert spaces. Then, we apply our algorithm in some composite monotone inclusion problems.

引用

页码：223 / 240

页数：18

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