Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces

被引：9

作者：

Witthayarat, Uamporn ^{[2
]}

Abdou, Afrah A. N. ^{[1
]}

Cho, Yeol Je ^{[1
,3
,4
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

新加坡国家研究基金会;

关键词：

split equilibrium problem; asymptotically nonexpansive mapping; fixed point problem; Hilbert space; STRONG-CONVERGENCE THEOREMS; GENERAL ITERATIVE METHOD; WEAK;

D O I：

10.1186/s13663-015-0448-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new iterative sequence for solving common problems which consist of split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in the framework of Hilbert spaces and prove some strong convergence theorems of the generated sequence {x(n)} by the shrinking projection method. Our results improve and extend the previous results given in the literature.

引用

页码：1 / 14

页数：14

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