| Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces |
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| 作者姓名： | Ha｜YunZHOU |
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| 作者单位： | Dept.ofMath.,ShijiazhuangMechanicalEngineeringCollege,Shijiazhuang050003,P.R.China |
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| 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.
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| 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： | 29 June 2001 |
Non–expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces |
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| Hai?Yun?ZhouEmail author.Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces[J].Acta Mathematica Sinica,2004,20(5):829-836. |
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| Authors: | Email author" target="_blank">Hai?Yun?ZhouEmail author |
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| Institution: | (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 |
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| 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. |
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| Keywords: | Non– expansive mapping Mann and Ishikawa iteration schemes Convergence theorem Uniformly convex Banach space |
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