| 渐近伪压缩映象的迭代序列强收敛的充要条件 |
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| 引用本文： | 倪仁兴.渐近伪压缩映象的迭代序列强收敛的充要条件[J].吉首大学学报(自然科学版),2004,25(3):1-5. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | （绍兴文理学院数学系，浙江 绍兴 312000） |
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| 基金项目： | 国家自然科学基金资助项目(10271025)，浙江省自然科学基金资助项目(102002) |
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| 摘 要： | 给出了实Banach空间中渐近伪压缩映象和渐近非扩张映象带随机误差的Ishikawa迭代序列强收敛于某不动点的充要条件，所得结果改进和推广了张石生、Liu Q H等人的最新结果.
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| 关 键 词： | 渐近伪压缩映象 渐近非扩张映象 带随机误差的Ishikawa迭代序列 不动点 充要条件 |
| 文章编号： | 1007-2985(2004)03-0001-05 |
Necessary and Sufficient Conditions for Strongly Convergence of Iterative Sequence of Asymptotically Pseudo-Contraction Mapping |
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| NI,Ren-xing.Necessary and Sufficient Conditions for Strongly Convergence of Iterative Sequence of Asymptotically Pseudo-Contraction Mapping[J].Journal of Jishou University(Natural Science Edition),2004,25(3):1-5. |
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| Authors: | NI Ren-xing |
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| Institution: | (Dept.of Math.,Shaoxing University,Shaoxing 312000,Zhejiang China) |
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| Abstract: | Some necessary and sufficient conditions for strongly convergence of Ishikawa iterative sequence with random errors of fixed points for asymptotically pseudo-contraction mappings and asymptotically non-expansive mapping in real Banach spaces were given .The results include,extend,and improve some recent results given by Zhang Shi-sen,Liu Q H,etc. |
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| Keywords: | asymptotically pseudo-contraction mapping asymptotically non-expansive mapping Ishikawa iterative sequence with random errors fixed points necessary and sufficient conditions |
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