| 任意Banach空间强伪压缩映射不动点的迭代逼近 |
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| 引用本文： | 薛志群. 任意Banach空间强伪压缩映射不动点的迭代逼近[J]. 石家庄铁道学院学报, 2007, 20(1): 35-38 |
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| 作者姓名： | 薛志群 |
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| 作者单位： | 石家庄铁道学院数理系,河北石家庄050043 |
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| 摘 要： | 利用正规对偶映射的定义，给出了任意Banach空间Lipschitz强伪压缩映射不动点的Ishikawa迭代收敛定理。该定理不仅推广了已知结果，而且还简化了目前相应结果的证明。
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| 关 键 词： | 任意Banach空间 Lipschitz强伪压缩映射 Ishikawa迭代 不动点 |
| 文章编号： | 1006-3226（2007）01-0035-04 |
| 收稿时间： | 2006-09-21 |
| 修稿时间： | 2006-09-21 |
Iterative Approximation of Fixed Points for Strongly Pseudocontractive Mappings in Arbitrary Banach Spaces |
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| Xue Zhiqun. Iterative Approximation of Fixed Points for Strongly Pseudocontractive Mappings in Arbitrary Banach Spaces[J]. Journal of Shijiazhuang Railway Institute, 2007, 20(1): 35-38 |
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| Authors: | Xue Zhiqun |
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| Affiliation: | Department of Mathematics and Physics,Shijiazhuang Railway Institute, Shijiazhuang 050043, China |
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| Abstract: | In this paper, by virtue of a definition of normalized duality mappings, we give convergence Theorems of Ishikawa iteration of fixed points for strongly pseudocontractive mappings in arbitrary Banach spaces. These Theorems not only extend the known results, but also simplify the identification of the corresponding results. |
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| Keywords: | arbitrary Banach spaces Lipschitz strongly pseudocontractive mappings Ishikawa iteration fixed points |
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