A PARAMETERIZED THREE-OPERATOR SPLITTING ALGORITHM AND ITS EXPANSION

被引：4

作者：

Zhang, Cuijie ^{[1
]}

Chen, Jiajia ^{[1
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 02期

关键词：

Inertial algorithm; Maximally monotone operator; Resolvent; Superiority; Splitting algorithm; MONOTONE INCLUSION; CONVERGENCE; POINT;

D O I：

10.23952/jnva.5.2021.2.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the parameterized Douglas-Rachford algorithm and the three-operator splitting algorithm, we propose the parameterized three-operator splitting algorithm for finding the least norm solution for the sum of three maximally monotone operators, with one of which is a cocoercive operator. In order to improve the convergence speed of the parameterized three-operator splitting algorithm, the inertial version of the algorithm is studied. In addition, two convergence theorems are established under some conditions. Finally, we illustrate the feasibility and superiority of our algorithm via a numerical example.

引用

页码：211 / 226

页数：16

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