| 渐近非扩张映象的修正Reich-Takahashi迭代的收敛定理 |
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| 引用本文： | 冯先智,倪仁兴.渐近非扩张映象的修正Reich-Takahashi迭代的收敛定理[J].曲阜师范大学学报,2005,31(1):19-24. |
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| 作者姓名： | 冯先智 倪仁兴 |
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| 作者单位： | [1]台州学院数学系，临海市，317000 [2]绍兴文理学院数学系，浙江省绍兴市，312000 |
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| 基金项目： | 浙江省教育厅资助 (2 0 0 3 0 768) |
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| 摘 要： | 研究Banach空间中渐近非扩张映象和非扩张映象的具随机误差的修正的Reich-Takahashi的迭代序列的收敛问题，给出了第一型具随机误差的修正Reich-Takahashi迭代序列强敛到不动点的充要条件，所得结果推广和改进了已有文献的相关结果．
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| 关 键 词： | 渐近非扩张映象 非扩张映象 迭代序列 充要条件 |
| 文章编号： | 1001-5337(2005)01-0019-06 |
On the Convergence Theorem of Modified Reich-Takahashi Iterative Sequence with Random Errors for Asymptotically Nonexpansive Mappings |
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| Abstract: | The purpose is to study the convergence problem of modified Reich-Takahashi iterative sequence with random errors for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. Some sufficient and necessary conditions are obtained on strong converge to fixed point for first-type modified Reich-Takahashi iterative sequence with random errors. The results presented extend and improve some results in literatures. |
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| Keywords: | asymptotically nonexpansive mapping nonexpansive mapping iterative sequence sufficient and necessary condition |
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