| Banach空间中严格渐近伪压缩映像隐迭代序列的收敛性 |
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| 引用本文： | 邱桂红,刘丽梅,何震.Banach空间中严格渐近伪压缩映像隐迭代序列的收敛性[J].河北师范大学学报(自然科学版),2007,31(4):434-438. |
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| 作者姓名： | 邱桂红 刘丽梅 何震 |
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| 作者单位： | 1. 承德民族师范专科学校,数学系,河北,承德,067000
2. 河北大学,数学与计算机学院,河北,保定,071000 |
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| 基金项目： | 教育部科学技术研究重点项目
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河北省自然科学基金 |
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| 摘 要： | 通过非扩张映像和渐近伪压缩映像的迭代逼近问题的分析,将渐近非扩张映像的隐迭代过程用于Browder-Petyshyn意义下的严格渐近伪压缩映像,得出Banach空间中严格渐近伪压缩映像迭代序列的收敛条件.
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| 关 键 词： | 严格渐近伪压缩映像 隐迭代 带误差的隐迭代 |
| 文章编号： | 1000-5854（2007）04-0434-05 |
| 修稿时间： | 2006-09-082006-12-20 |
The Convergence of an Implicit Iteration Sequnces for Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces |
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| QIU Gui-hong,LIU Li-mei,HE Zhen.The Convergence of an Implicit Iteration Sequnces for Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces[J].Journal of Hebei Normal University,2007,31(4):434-438. |
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| Authors: | QIU Gui-hong LIU Li-mei HE Zhen |
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| Institution: | 1. Departraent of Mathematics, Ethnologic Chengde Normal College, Hebei Chengde 067000, China; 2. College of Mathematics and Computer,Hebei Univeraity,Hebei Baoding 071000 ,China |
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| Abstract: | The iterative approximation problems for nonexpansive mappings is studied,asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings.By applying results of an implicit iteration in asymptotically quasi-nonexpansive mappings,the convergence conditions for strictly asymptotically pseudocontractive mappings on Browder-Petyshsyn's meaningfulness Banach spaces are obtained. |
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| Keywords: | strictly asymptotically pseudocontractive mapping implicit iteration methods implicit iteration with erroers |
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