An iterative approach to mixed equilibrium problems and fixed points problems

被引：3

作者：

Yao, Yonghong ^{[1
]}

Liou, Yeong-Cheng ^{[2
]}

Kang, Shin Min ^{[3
,4
]}

机构：

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

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

[3] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

mixed equilibrium problem; fixed point problem; minimization problem; strictly pseudo-contractive mapping; FINDING COMMON SOLUTIONS; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; HILBERT-SPACES; SCHEME; FAMILY;

D O I：

10.1186/1687-1812-2013-183

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been constructed. It is shown that under some mild conditions, the sequence generated by the presented algorithm converges strongly to the common solution of mixed equilibrium problems and fixed points problems. As an application, we can find the minimum norm element without involving projection. MSC: 47J05, 47J25, 47H09.

引用

页数：13

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