Convergence theorems for continuous pseudocontractive mappings in Banach spaces

被引：2

作者：

Guo, Weiping ^{[1
]}

Choi, Min Seok ^{[2
,3
]}

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

机构：

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

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

[3] Gyeongsang Natl Univ, Coll Educ, RINS, Chinju 660701, South Korea

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

uniformly convex Banach space; pseudocontractive mapping; nonexpansive mapping; implicit iteration process; convergence theorem; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; OPERATORS;

D O I：

10.1186/1029-242X-2014-384

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some strong and weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach spaces. As an application of the strong convergence theorem, we give an interesting example.

引用

页数：10

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