| 渐近非扩张映象迭代序列的收敛性 |
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| 引用本文： | 田有先,张石生. 渐近非扩张映象迭代序列的收敛性[J]. 西北大学学报(自然科学版), 2003, 33(6): 641-644 |
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| 作者姓名： | 田有先 张石生 |
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| 作者单位： | [1]重庆邮电学院计算机学院，重庆400065 [2]四川大学数学学院，四川成都610064 |
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| 基金项目： | 国家自然科学基金资助项目(19771058)，四川省教育厅自然科学重点科研项目(01LA70) |
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| 摘 要： | 用新方法研究了Banach空间中渐近非扩张映象不动点的迭代逼近问题，所得结果改进和发展了前人的结果。
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| 关 键 词： | 渐近非扩张映象 不动点 具误差的Ishikawa（Mann）迭代序列 |
| 文章编号： | 1000-274X(2003)06-641-04 |
| 修稿时间： | 2002-08-10 |
On the convergence of iterative sequence for asymptotically nonexpansive mappings |
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| TIAN You-xian,ZHANG Shi-sheng. On the convergence of iterative sequence for asymptotically nonexpansive mappings[J]. Journal of Northwest University(Natural Science Edition), 2003, 33(6): 641-644 |
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| Authors: | TIAN You-xian ZHANG Shi-sheng |
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| Abstract: | It is proved by using new methods,some iterative approximation theorems of fixed point for asymptotically nonexpansive mappings was studied in Banach spaces. The results presented, which has improved and extended the corresponding results of Kirk-Gaehel, Rhoades, Huang, Schu and Xu. |
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| Keywords: | Asymptotically nonexpansive mappings fixed point Ishikawa (Mann) iteration process with errors |
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