| 集值渐近准非扩张映象多步迭代的收敛性 |
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| 引用本文： | 廖正琦 贺清碧. 集值渐近准非扩张映象多步迭代的收敛性[J]. 重庆交通学院学报, 2007, 26(2): 164-166 |
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| 作者姓名： | 廖正琦 贺清碧 |
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| 作者单位： | [1]重庆交通大学理学院,重庆400074 [2]重庆交通大学计算机与信息学院,重庆400074 |
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| 摘 要： | 在严格凸Banach空间中，用集值映象点值化方法，证明了集值渐近准非扩张映象带误差的三步迭代列收敛于耦合不动点的充要条件．
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| 关 键 词： | 集值渐近准非扩张映象 严格凸Banach空间 带误差的三步迭代列 耦合不动点 |
| 修稿时间： | 2006-02-21 |
Convergence of Multistep Iterative Sequence for Asymptotically Quasi-nonexpansive Mappings of Set-valued |
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| LIAO Zheng-qi, HE Qing-bi. Convergence of Multistep Iterative Sequence for Asymptotically Quasi-nonexpansive Mappings of Set-valued[J]. Journal of Chongqing Jiaotong University, 2007, 26(2): 164-166 |
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| Authors: | LIAO Zheng-qi HE Qing-bi |
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| Affiliation: | School of Science, Chongqing Jiaotong University, Chongqing 400074, China; 2. School of Computer and Information, Chongqing Jtaotong University, Chingqing 400074, China |
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| Abstract: | By using point valued for set-valued mappings in strictly convex Banach space, a sufficient and necessary condition for Ishikawa multistep iterative processing with errors for asymptotically quasi-nonexpansive mappings of set-valued to converge to coupled fixed point is proved. |
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| Keywords: | asymptotically quasi-nonexpansive mappings of set-valued strictly convex Banaeh space multistep iterative processes with errors coupled fixed point |
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