|
|||||
|
|
| Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces | |
| 引用本文： | Ha｜YunZHOU. Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces[J]. 数学学报(英文版), 2004, 20(5): 829-836. DOI: 10.1007/s10114-004-0347-x |
| 作者姓名： | Ha｜YunZHOU |
| 作者单位： | Dept.ofMath.,ShijiazhuangMechanicalEngineeringCollege,Shijiazhuang050003,P.R.China |
| 摘 要： | In this article, we will investigate the properties of iterative sequence for non-expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings. |
| 关 键 词： | 不可扩映射 收敛定理 标准凸巴拿赫空间 不动点 |
| 收稿时间： | 2001-06-29 |
Non–expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces |
|
| Hai?Yun?ZhouEmail author. Non–expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces[J]. Acta Mathematica Sinica(English Series), 2004, 20(5): 829-836. DOI: 10.1007/s10114-004-0347-x | |
| Authors: | Hai?Yun?Zhou mailto:luyao_@.com" title=" luyao_@.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Dept. of Math., Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, P. R. China;(2) Academy of Mathematics and System Sciences, Academy of Chinese Sciences, Beijing 100080, P. R. China |
| Abstract: | In this article, we will investigate the properties of iterative sequence for non–expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non–expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non–expansive mappings. |
| Keywords: | Non– expansive mapping Mann and Ishikawa iteration schemes Convergence theorem Uniformly convex Banach space |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |