Strong convergence theorems for asymptotically nonexpansive nonself-mappings with applications

被引：1

作者：

Guo, Weiping ^{[1
]}

Abdou, Afrah A. N. ^{[2
]}

Khan, Liaqat A. ^{[2
]}

Cho, Yeol Je ^{[2
,3
,4
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math & Phys, Suzhou 215009, Jiangsu, Peoples R China

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

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

asymptotically nonexpansive nonself-mapping; strong convergence; fixed point; uniformly convex Banach space; BANACH-SPACES; FIXED-POINTS;

D O I：

10.1186/s13663-015-0463-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces. Second, we consider a simple iteration and prove some strong convergence theorems of the proposed iteration for an asymptotically nonexpansive nonself-mapping with the condition (BP). Finally, we give two examples to illustrate the main result in this paper. Our results improve and extend the corresponding results given by some authors.

引用

页码：1 / 12

页数：12

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