| Banach空间中有限个渐近非扩展映象公共不动点的隐式迭代逼近 |
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| 引用本文： | 王绍荣,陈瑛.Banach空间中有限个渐近非扩展映象公共不动点的隐式迭代逼近[J].高校应用数学学报(A辑),2005,20(1):63-69. |
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| 作者姓名： | 王绍荣 陈瑛 |
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| 作者单位： | 1. 云南大理学院,数学系,云南大理,671000
2. 昆明师专,云南昆明,650031 |
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| 基金项目： | 大理学院科研基金(2002X42) |
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| 摘 要： | 在更一般的条件下研究了Banach空间中有限个渐近非扩展映象和非扩展映象公共不动点的隐式迭代过程的强收敛问题．所得结果推广和发展了已有文献中的有关结果．
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| 关 键 词： | 渐近非扩展映象 非扩展映象 有限族的隐式迭代过程 公共不动点 强收敛 |
| 文章编号： | 1000-4424(2005)01-0063-07 |
Implicit iterative approximation for a finite family of asymptotically nonexpansive mappings in Banach spaces |
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| Wang Shao-rong,CHEN Ying.Implicit iterative approximation for a finite family of asymptotically nonexpansive mappings in Banach spaces[J].Applied Mathematics A Journal of Chinese Universities,2005,20(1):63-69. |
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| Authors: | Wang Shao-rong CHEN Ying |
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| Institution: | WANG Shao-rong~1,CHEN Ying~2 |
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| Abstract: | The purpose of this paper is to study the strong convergence of implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces.The results presented in this paper extend and improve the corresponding results of previous papers. |
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| Keywords: | asymptotically nonexpansive mapping nonexpansive mapping implicit iterative sequence of a finite family common fixed point strong convergence |
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