| 一致凸Banach空间非扩张映象带误差的Ishikawa型的三重迭代序列的收敛性 |
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| 引用本文： | 王学武.一致凸Banach空间非扩张映象带误差的Ishikawa型的三重迭代序列的收敛性[J].大学数学,2007,23(1):56-60. |
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| 作者姓名： | 王学武 |
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| 作者单位： | 山东工商学院,数学系,山东,烟台,264005 |
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| 摘 要： | 在一致凸Banach空间上,研究了半紧的非扩张压缩映象‖Tx-Ty‖≤‖x-y‖的Ishikawa型的三重迭代序列的收敛性问题,建立并证明了带误差的Ishikawa三重迭代逼近收敛定理,从而独特的推广了Mann和Ishikawa迭代方法,改进和发展了文献1]-7]的主要结果.
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| 关 键 词： | 一致凸Banach空间 半紧的非扩张映射 Ishikawa型的三重迭代序列 不动点 |
| 文章编号： | 1672-1454（2007）01-0056-05 |
| 收稿时间： | 2005-08-30 |
| 修稿时间： | 2005年8月30日 |
The Convergence Theorem of the Triple Ishikawa Iterative with Errors for Nonexpansive Mappings in a Uniformly Convex Banach Spaces |
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| WANG Xue-wu.The Convergence Theorem of the Triple Ishikawa Iterative with Errors for Nonexpansive Mappings in a Uniformly Convex Banach Spaces[J].College Mathematics,2007,23(1):56-60. |
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| Authors: | WANG Xue-wu |
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| Abstract: | The convergence problem of the triple Ishikawa iterative sequence for semi-compacting nonexpensive mapping ‖Tx-Ty‖≤‖x-y‖ is studied on a uniformly convex Banach space.We establish and prove the approximation convergence theorems of triple Ishikawa iterative sequence with errors,and extend original iterative methods of Mann and Ishikawa.The results of this paper improve and develop main results in . |
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| Keywords: | uniformly convex Banach space semi-compacting nonexpansive mapping triple iterative sequence of Ishikawa type fixed point |
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