| 渐近伪压缩和渐近非扩张映像不动点的迭代逼近问题 |
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| 引用本文： | 姚永红,陈汝栋. 渐近伪压缩和渐近非扩张映像不动点的迭代逼近问题[J]. 应用泛函分析学报, 2007, 9(3): 233-237 |
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| 作者姓名： | 姚永红 陈汝栋 |
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| 作者单位： | 天津工业大学,数学系,天津,300160 |
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| 摘 要： | 研究了Banach空间中渐近伪压缩和渐近非扩张映像不动点的迭代逼近问题,改进和发展了张石生教授等人的相应结果.
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| 关 键 词： | 渐近非扩张映像 渐近伪压缩映像 Ishikawa迭代序列 Mann迭代序列 不动点 |
| 文章编号： | 1009-1327（2007）03-0233-05 |
| 修稿时间： | 2004-04-12 |
Iterative Approximation Problem of Fixed Points for Asymptotically Pseudo-contractive and Asymptotically Nonexpansive Mappings |
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| YAO Yong-hong,CHEN Ru-dong. Iterative Approximation Problem of Fixed Points for Asymptotically Pseudo-contractive and Asymptotically Nonexpansive Mappings[J]. Acta Analysis Functionalis Applicata, 2007, 9(3): 233-237 |
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| Authors: | YAO Yong-hong CHEN Ru-dong |
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| Affiliation: | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China |
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| Abstract: | In this paper we constructed a new Ishikawa iteration process.We prove approximating fixed point of asymptotically pseudo-contractive and asymptotically nonexpansive mappings by a new Ishikawa iteration processes.The results presented in this paper improve and extend the corresponding results of Zhang Shi-sheng and others. |
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| Keywords: | asymptotically nonexpansive mapping asymptotically pseudo-contractive mapping Ishikawa iteration Mann iteration fixed point |
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