| 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 (英) |
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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 (英)[J].数学研究及应用,2007,27(1):75-80. |
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| 作者姓名： | 唐玉超 刘理蔚 |
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| 作者单位： | 南昌大学数学系，南昌大学数学系 江西 南昌 330047，江西 南昌 330047 |
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| 基金项目： | the National Natural Science Foundation of China(10561007)，the Natural Science Foundation of Jiangxi Province(0411036)． |
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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 |
| 文章编号： | 1000-341X(2007)01-0075-06 |
| 收稿时间： | 2005/9/13 0:00:00 |
| 修稿时间： | 7/2/2007 12:00:00 AM |
Note on Convergence Theorems of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uniformly Convex Banach Space |
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| TANG Yu-chao and LIU Li-wei.Note on Convergence Theorems of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uniformly Convex Banach Space[J].Journal of Mathematical Research with Applications,2007,27(1):75-80. |
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| Authors: | TANG Yu-chao and LIU Li-wei |
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| Institution: | Department of Mathematics, Nanchang University, Jiangxi 330047, China;Department of Mathematics, Nanchang University, Jiangxi 330047, China |
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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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