| Hilbert空间中严格伪压缩映像有限族公共不动点的迭代算法 |
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| 引用本文： | 刘立红,周海云,陈东青. Hilbert空间中严格伪压缩映像有限族公共不动点的迭代算法[J]. 河北大学学报(自然科学版), 2011, 31(3): 236-239 |
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| 作者姓名： | 刘立红 周海云 陈东青 |
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| 作者单位： | 军械工程学院基础部,河北,石家庄,050003 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出了Hilbert空间中严格伪压缩映像有限族公共不动点的一个新的具有显式表达的迭代算法,并利用所给出的算法证明了一个强收敛定理.
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| 关 键 词： | Hilbert空间 严格伪压缩映像 公共不动点 迭代算法 |
An Iteration Algorithm for Common Fixed Points About Finite Family of Strict Pseudo-contractive Mappings in Hilbert Spaces |
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| LIU Li-hong,ZHOU Hai-yun,CHEN Dong-qing. An Iteration Algorithm for Common Fixed Points About Finite Family of Strict Pseudo-contractive Mappings in Hilbert Spaces[J]. Journal of Hebei University (Natural Science Edition), 2011, 31(3): 236-239 |
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| Authors: | LIU Li-hong ZHOU Hai-yun CHEN Dong-qing |
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| Affiliation: | (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | The new iteration algorithm for common fixed points about finite family of strict pseudo-contractive mappings in Hilbert spaces is given,which has an explicit expression.Then a strong convergence theorem is proved by the modified algorithm. |
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| Keywords: | Hilbert spaces strict pseudo-contractive mapping common fixed points iteration algorithm |
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