| 一致凸Banach空间中有限个非扩张映射的公共不动点的逼近 |
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| 引用本文： | 韩金春. 一致凸Banach空间中有限个非扩张映射的公共不动点的逼近[J]. 山东理工大学学报：自然科学版, 2007, 21(5): 8-11 |
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| 作者姓名： | 韩金春 |
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| 作者单位： | 连云港职业技术学院,基础课部,江苏,连云港,222006 |
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| 摘 要： | 利用新的迭代程序研究了Banach空间中有限个非扩张映射的公共不动点问题,给出了公共不动点的逼近定理,推广了由单个算子所产生的Ishikawa迭代序列的弱收敛定理.
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| 关 键 词： | 非扩张映射 不动点 一致凸Banach空间 KK性质 |
| 文章编号： | 1672-6197（2007）05-0008-04 |
| 修稿时间： | 2007-06-05 |
Approximations for the common fixed points of finite nonexpansive mappings in the uniformly convex Banach spaces |
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| HAN Jin-chun. Approximations for the common fixed points of finite nonexpansive mappings in the uniformly convex Banach spaces[J]. Journal of Shandong University of Technology:Science and Technology, 2007, 21(5): 8-11 |
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| Authors: | HAN Jin-chun |
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| Affiliation: | Elementary Department, Liangyungang Technical College, Lianyungang 222006, China |
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| Abstract: | Using a new iteration process,the problem of approximating a common fixed point of finite nonexpansive mappings in a uniformly convex Banach space was studied,and an approximating convergence theorem is given,which generalizes some weak convergence theorems of the Ishikawa iteration sequence with only one operator. |
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| Keywords: | nonexpansive mapping fixed point uniformly convex Banach space Kadec-Klee property |
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