Variant extragradient-type method for monotone variational inequalities

被引：24

作者：

Yao, Yonghong ^{[1
]}

Postolache, Mihai ^{[2
]}

Liou, Yeong-Cheng ^{[3
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[2] Univ Politehn Bucuresti, Fac Sci Appl, Bucharest 060042, Romania

[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

variational inequality; extragradient-type method; nonexpansive mapping; projection; strong convergence; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACE; ITERATIVE METHODS; WEAK-CONVERGENCE; BANACH-SPACES; OPERATORS; ALGORITHM; OPTIMIZATION; THEOREMS;

D O I：

10.1186/1687-1812-2013-185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Korpelevich's extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities. In the present paper, we propose a variant extragradient-type method for solving monotone variational inequalities. Convergence analysis of the method is presented under reasonable assumptions on the problem data.

引用

页数：15

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