| 渐近非扩张映象带误差项迭代序列的收敛性 |
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| 引用本文： | 刘瑞娟,肖翔.渐近非扩张映象带误差项迭代序列的收敛性[J].上海工程技术大学学报,2009,23(2):184-186. |
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| 作者姓名： | 刘瑞娟 肖翔 |
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| 作者单位： | 上海工程技术大学基础教学学院,上海,201620 |
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| 摘 要： | 讨论一致凸Banach空间E中的非空闭凸子集上渐近非扩张映象不动点集非空的充要条件，以及修正的带误差项的Ishikawa迭代序列收敛到不动点的充要条件，推广与发展了曾六川、于延荣等人的相应结果．
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| 关 键 词： | 不动点 渐近非扩张映射 一致凸Banach空间 Ishikawa迭代序列 |
Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings |
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| LIU Rui-juan,XIAO Xiang.Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings[J].Journal of Shanghai University of Engineering Science,2009,23(2):184-186. |
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| Authors: | LIU Rui-juan XIAO Xiang |
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| Affiliation: | (College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China) |
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| Abstract: | This paper mainly shows that sufficient and necessary conditions of nonempty fixed points and suffi-cient and necessary conditions of the modified Ishikawa iteration sequences with errors converged to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space. The results presented also extended and improved some recent results. |
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| Keywords: | fixed point asymptotically nonexpansive mappings uniformly convex Banach space Ishikawa it-erative sequences |
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