| Banach空间中两类压缩映射的迭代逼近 |
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| 引用本文： | 刘桂霞,姚力.Banach空间中两类压缩映射的迭代逼近[J].大学数学,2006,22(6):48-52. |
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| 作者姓名： | 刘桂霞 姚力 |
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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,075000;河北建筑工程学院,数学物理系,河北,张家口,075000 |
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| 摘 要： | 讨论了Banach空间中拟压缩映射和广义压缩映射的具误差的Ishikawa迭代序列的收敛性,得出了在一定条件下,这两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 广义压缩映射 一致光滑Banach空间 具误差的Ishikawa迭代 |
| 文章编号： | 1672-1454（2006）06-0048-05 |
| 收稿时间： | 2005-06-30 |
| 修稿时间： | 2005年6月30日 |
Iterative Approximation of Two Contractive Mappings in Banach Space |
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| LIU Gui-xia,YAO Li.Iterative Approximation of Two Contractive Mappings in Banach Space[J].College Mathematics,2006,22(6):48-52. |
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| Authors: | LIU Gui-xia YAO Li |
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| Abstract: | This paper discussed the convergence of Ishikawa iterative processes with errors for quasi-contractive mapping and generalized contractive mapping in Banach space.It was proved that under certain conditions the iterative sequences converge strongly to the fixed points of these two contractive mappings,respectively.The authors generalized and developed some results in the same kind and expanded the applied scope of these results. |
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| Keywords: | quasi-contractive mapping generalized contractive mapping uniformly smooth Banach space Ishikawa iterative processes with errors |
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