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

被引：1

作者：

Yu, Xin ^{[1
]}

Yao, Yonghong ^{[2
]}

Liou, Yeong-Cheng ^{[3
]}

机构：

[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China

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

[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 883, Taiwan

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 01期

关键词：

Variational inequality problem; Fixed point problems; Pseudomonotone mapping; Nonexpansive mapping; Extragradient method; CQ method; Projection; STEEPEST-DESCENT METHODS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; ITERATIVE METHOD; THEOREMS;

D O I：

10.2478/v10309-012-0033-4

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 pseudomonotone, 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. We derive a necessary and sufficient condition for the strong convergence of the sequences generated by the proposed method.

引用

页码：489 / 503

页数：15

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