| 关于一致凸的Banach空间上的渐近非扩张映象的迭代序列的收敛性定理的注记 |
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| 引用本文： | 唐玉超,刘理蔚. 关于一致凸的Banach空间上的渐近非扩张映象的迭代序列的收敛性定理的注记[J]. 数学研究与评论, 2007, 27(1) |
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| 作者姓名： | 唐玉超 刘理蔚 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金 |
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| 摘 要： | 本文研究了在一致凸Banach空间中定义在闭凸集C上渐近非扩张映象T不动点的迭代问题,我们的讨论去掉了在刘和薛[2]中C是有界的假设.
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| 关 键 词： | 渐近非扩张映射 修改的Ishikawa迭代序列 不动点 |
Note on Convergence Theorems of Iterative Sequences for Asymptoticallly Non-Expansive Mapping in a Uniformly Convex Banach Space |
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| TANG Yu-chao,LIU Li-wei. Note on Convergence Theorems of Iterative Sequences for Asymptoticallly Non-Expansive Mapping in a Uniformly Convex Banach Space[J]. Journal of Mathematical Research and Exposition, 2007, 27(1) |
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| Authors: | TANG Yu-chao LIU Li-wei |
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| Abstract: | In this paper,we approximate fixed point of asymptotically nonexpansive mapping T on a closed,convex subset C of a uniformly convex Banach space.Our argument removes the boundedness assumption on C,generalizing theorems of Liu and Xue. |
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| Keywords: | asymptotically nonexpansive mapping modified Ishikawa iterative sequence fixed points |
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