| Banach空间中2类压缩映射不动点的具误差的Ishikawa迭代序列的收敛性 |
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| 引用本文： | 刘桂霞,刘丽莉,李彩娟.Banach空间中2类压缩映射不动点的具误差的Ishikawa迭代序列的收敛性[J].河北师范大学学报(自然科学版),2006,30(1):13-16. |
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| 作者姓名： | 刘桂霞 刘丽莉 李彩娟 |
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| 作者单位： | 河北建筑工程学院,数学物理系,河北,张家口,075024 |
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| 摘 要： | 讨论了Banach空间中拟压缩映射对和广义压缩映射的具误差的Ishikawa迭代序列的收敛性问题,得出了在一定条件下,这2类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广.
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| 关 键 词： | 拟压缩映射对 广义压缩映射 一致光滑Banach空间 具误差的Ishikawa迭代 |
| 文章编号： | 1000-5854(2006)01-0013-04 |
| 收稿时间： | 2004-06-08 |
| 修稿时间： | 2004年6月8日 |
The Convergence of Ishikawa-type Iterative Processes with Errors for Two Contractive Mappings in Banach Space |
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| LIU Gui-xia,LIU Li-li,LI Cai-juan.The Convergence of Ishikawa-type Iterative Processes with Errors for Two Contractive Mappings in Banach Space[J].Journal of Hebei Normal University,2006,30(1):13-16. |
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| Authors: | LIU Gui-xia LIU Li-li LI Cai-juan |
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| Institution: | Department of Mathematics and Physies,Hebei Institute of Architecture and Civil Engineering,Hebei Zhangjiakou 075024,China |
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| Abstract: | The convergence of Ishikawa iterative processes with errors for quasi-contractive mapping pair and generalized contractive mapping in Banach space are discussed. It is proved that with certain condition, these two contractive mappings converge strongly to their fixed points. Some results in the same kind are generalized and devetoped and the applied scope of these results are expanded. |
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| Keywords: | quasi-contractive mapping pair generalized contractive mapping uniformly smooth Banach space Ishikawa iterative processes with errors |
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