Three-operator splitting algorithm for a class of variational inclusion problems

被引：0

作者：

Dang Van Hieu

Le Van Vy

Pham Kim Quy

机构：

[1] Ton Duc Thang University,Applied Analysis Research Group, Faculty of Mathematics and Statistics

[2] College of Air Force,Department of Mathematics

来源：

Bulletin of the Iranian Mathematical Society | 2020年 / 46卷

关键词：

Forward–backward method; Tseng’s method; Operator splitting method; 65J15; 47H05; 47J25; 47J20; 91B50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper concerns with a new three-operator splitting algorithm for solving a class of variational inclusions. The main advantage of the proposed algorithm is that it can be easily implemented without the prior knowledge of Lipschitz constant, strongly monotone constant and cocoercive constant of component operators. A reason explained for this is that the algorithm uses a sequence of stepsizes which is diminishing and non-summable. The strong convergence of the algorithm is established. Several fundamental numerical experiments are given to illustrate the behavior of the new algorithm and compare it with other algorithms.

引用

页码：1055 / 1071

页数：16