Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces

被引：165

作者：

Xu, BL

Noor, MA

机构：

[1] Oufu Normal Univ, Dept Math, Shandong 273165, Peoples R China

[2] Etisalat Coll Engn, Sharjah, U Arab Emirates

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 02期

关键词：

three-step iterations; asymptotically nonexpansive mappings; uniformly convex Banach spaces; Mann-type and Ishikawa-type iterations;

D O I：

10.1006/jmaa.2001.7649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest and analyze a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. The new iterative scheme includes Ishikawa-type and Mann-type interations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results. (C) 2002 Elsevier Science (USA).

引用

页码：444 / 453

页数：10

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