| 非线性映射具误差的迭代序列在Banach空间中的收敛问题 |
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| 作者姓名： | SunZhaohong NiYongqin HeChang |
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| 作者单位： | [2]YuxiNormalCollege,Yunnan653100,China [3]YuxiNormalCollege,Yunnan653100,China [4]DaliCollege,Yunnan671000,China |
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| 基金项目： | Supported by the National Science Foundation of Yunnan Province(2 0 0 2 A0 0 58M) |
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| 摘 要： | In this paper,the approximation problems of Ishikawa iteration with errors of fixedpoints for asymptotically nonexpansive mappings and asymptotically pseudocontractivemappings in arbitrary real Banach spaces are investigated. Some necessary condition andsufficient condition for the convergence of iterative sequences are given respectively. The resultsthus extend and improve some recent corresponding results.
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| 关 键 词： | 迭代序列 收敛性 非线性映射 BANACH空间 不动点 |
| 收稿时间： | 20 January 2003 |
Convergent problem of iterative sequences for nonlinear mappings with error members in banach spaces |
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| SunZhaohong NiYongqin HeChang.Convergent problem of iterative sequences for nonlinear mappings with error members in banach spaces[J].Applied Mathematics A Journal of Chinese Universities,2004,19(1):81-89. |
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| Authors: | Sun Zhaohong Ni Yongqin He Chang |
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| Institution: | Dept.of Math.,Yuxi Normal College,Yunnan 653100,China;Dept.of Phys., Yuxi Normal College, Yunnan 653100,China;Dept.of Math., Dali College, Yunnan 671000,China |
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| Abstract: | In this paper,the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively.The results thus extend and improve some recent corresponding results. |
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| Keywords: | asymptotically nonexpansive mapping asymptotically pseudocontractive mapping modified Ishikawa iterative sequence with errors arbitrary Banach space fixed point |
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