STRONG CONVERGENCE OF THE ALTERNATING RESOLVENT ALGORITHM IN HILBERT SPACES

被引：0

作者：

Yao, Bingchen ^{[1
]}

Wang, Yamin ^{[1
,2
]}

机构：

[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷

基金：

中国国家自然科学基金;

关键词：

Alternating resolvent algorithm; Error criterion; Viscosity; Zero point; PROXIMAL POINT ALGORITHM;

D O I：

10.23952/jnfa.2024.15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a viscosity alternating resolvent algorithm with over-relaxed parameters for finding a common zero point of two maximal monotone operators A and B . We give the strong convergence of the algorithm under a new error criterion and some mild conditions in Hilbert spaces.

引用

页数：11

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