Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces

被引：10

作者：

Qin, Xiaolong ^{[1
,2
,4
]}

Kang, Shin Min ^{[1
,2
]}

Shang, Meijuan ^{[3
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Kaifeng, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju, South Korea

[3] Shijiazhuang Univ, Dept Math, Shijiazhuang, Peoples R China

[4] Henna Univ, Sch Math & Informat Sci, Kaifeng, South Korea

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 04期

关键词：

variational inequality; projection method; relaxed cocoercive mapping; Hilbert space;

D O I：

10.1080/00036810801952953

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce and consider a general system of variational inequalities. Using the projection technique, we suggest and analyse new iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this article continue to hold for these problems. Our results improve and extend the recent ones announced by many others.

引用

页码：421 / 430

页数：10

共 18 条

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