On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators

被引：1

作者：

Jiao, Hongwei ^{[1
]}

Wang, Fenghui ^{[2
]}

机构：

[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China

[2] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

基金：

中国国家自然科学基金;

关键词：

SPLITTING ALGORITHM; DECOMPOSITION;

D O I：

10.1155/2014/414031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of these results, including variational inequalities and gradient projection algorithms, are also considered.

引用

页数：5

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