Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems

被引：4

作者：

Yao, Yonghong ^{[2
]}

Liou, Yeong-Cheng ^{[3
]}

Wong, Mu-Ming ^{[1
]}

Yao, Jen-Chih ^{[4
]}

机构：

[1] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan

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

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

[4] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

variational inequality problem; fixed point problems; monotone mapping; nonexpansive mapping; extragradient method; CQ method; projection; STEEPEST-DESCENT METHODS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; ITERATIVE METHOD; THEOREMS;

D O I：

10.1186/1687-1812-2011-53

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterative method combines two well-known methods: extragradient method and CQ method. Under some mild conditions, we prove the strong convergence of the sequences generated by the proposed method.

引用

页数：10

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