| 渐近非扩张映象公共不动点具误差的弱和强收敛定理 |
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| 引用本文： | 赵良才,刘志平. 渐近非扩张映象公共不动点具误差的弱和强收敛定理[J]. 宜宾学院学报, 2006, 6(12): 19-21 |
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| 作者姓名： | 赵良才 刘志平 |
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| 作者单位： | 宜宾学院,数学系,四川,宜宾,644000 |
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| 摘 要： | 设E是一致凸的Banach空间,C是E的非空有界闭凸子集．本文证明了,在一定条件下,三个渐近非扩张映象公共不动点具误差的迭代序列的弱和强收敛定理．本文结果也推广和改进了最近一些人的最新结果．
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| 关 键 词： | 渐近非扩张映象 Opial条件 半闭原理 公共不动点 |
| 文章编号： | 1671-5365(2006)12-0019-03 |
| 收稿时间： | 2006-06-21 |
| 修稿时间： | 2006-06-21 |
Weak and Strong Convergence Theorems of Common Fixed Points for Asymptotically Nonexpansive Mappings with Errors |
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| ZHAO Liang-cai,LIU Zhi-ping. Weak and Strong Convergence Theorems of Common Fixed Points for Asymptotically Nonexpansive Mappings with Errors[J]. Journal of Yibin University, 2006, 6(12): 19-21 |
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| Authors: | ZHAO Liang-cai LIU Zhi-ping |
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| Affiliation: | Department of Mathematics, Yibin University, Yibin 644007, China |
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| Abstract: | E is a real uniformly convex Banach space and C is a nonempty closed convex subset of E.It is shown that under some suitable conditions,there is a theorem of weak and strong convergence theorems of iterative sequences with errors to a common fixed point for three asymptotically nonexpansive mappings in Banach spaces.The results presented in this arti- cle also extend and improve some recent results. |
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| Keywords: | Asymptotically Nonexpansive Mapping Opial's Condition Semi-Closed Principle Common Fixed Point |
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