Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces

被引：2

作者：

Yang, Liping ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou, Guangdong, Peoples R China

来源：

OPTIMIZATION | 2018年 / 67卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Modified Ishikawa iterative process with errors; strong convergence; strictly pseudocontractive mapping; fixed point; demi-compact; BROWDER-PETRYSHYN TYPE; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACE; ISHIKAWA; ERRORS;

D O I：

10.1080/02331934.2018.1430147

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The article establishes the sufficient and necessary conditions for the strong convergence of the Ishikawa iterative scheme with random errors in the sense of Xu for a strictly pseudocontractive mapping in an arbitrary real Banach space under certain assumptions. It affirmatively answers the open question that put forth by Zeng. The results in this paper extend and improve the corresponding results of Browder, Petryshyn, Rhoades, Osilike and Zeng.

引用

页码：855 / 863

页数：9

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