Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

被引：18

作者：

Qin, Xiaolong ^{[3
]}

Cho, Sun Young ^{[2
]}

Kim, Jong Kyu ^{[1
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Masan 631701, South Korea

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

[3] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

STRICT PSEUDO-CONTRACTIONS; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; CONSTRUCTION;

D O I：

10.1155/2010/186874

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.

引用

页数：14

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