| 非扩张映象对公共不动点的迭代逼近 |
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| 引用本文： | 祝志川,陈汝栋. 非扩张映象对公共不动点的迭代逼近[J]. 应用泛函分析学报, 2008, 10(1): 35-38 |
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| 作者姓名： | 祝志川 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： | 对非扩张映象对引入了修改的Mann迭代格式,并证明了在一致光滑Banach空间中强收敛到其公共不动点,改进并推广了Tae—Hwa Kim and Hong—Kun Xu在2005年的结果．
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| 关 键 词： | 非扩张映象对 修改的Mann迭代 一致光滑Banach空间 |
| 文章编号： | 1009-1327(2008)01-0035-04 |
| 修稿时间： | 2005-09-06 |
Iterative Approximation to a Common Fixed Point of Nonexpansive Mapping Pairing |
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| ZHU Zhi-chuan,CHEN Ru-dong. Iterative Approximation to a Common Fixed Point of Nonexpansive Mapping Pairing[J]. Acta Analysis Functionalis Applicata, 2008, 10(1): 35-38 |
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| Authors: | ZHU Zhi-chuan CHEN Ru-dong |
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| Affiliation: | ( Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China) |
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| Abstract: | We introduced modified Mann iteration to nonexpansive mapping pairing, and proved that the iterative scheme strongly converged to a common fixed point in uniformly smooth Banach space. The results presented extended and improved the corresponding results by Tae-Hwa Kim and by Hong-Kun Xu（2005）. |
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| Keywords: | nonexpansive mapping pairing modified Mann iteration uniformly smooth Banach space |
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