| Hilbert空间中Lipschitz拟伪压缩映像公共不动点的杂交投影算法 |
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| 引用本文： | 陈东青,刘立红,冯光辉. Hilbert空间中Lipschitz拟伪压缩映像公共不动点的杂交投影算法[J]. 军械工程学院学报, 2009, 21(6): 72-74 |
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| 作者姓名： | 陈东青 刘立红 冯光辉 |
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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： | 项目来源：国家自然科学基金项目（10771050） |
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| 摘 要： | 给出了Hilbert空间中Lipschitz拟伪压缩映像族公共不动点的一个投影算法，并利用所给出的算法证明了一个强收敛定理，扩展了参考文献[1]的结果。
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| 关 键 词： | Hilbert空间 Lipschitz拟伪压缩映像 公共不动点 投影算法 |
A Hybrid Projection Algorithm for Common Fixed Points of a Family of Lipschitz Quasi-Pseudo-Contractive Mappings in Hilbert Spaces |
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| CHEN Do＇ng-qing,LIU Li-hong,FENG Guang-hui. A Hybrid Projection Algorithm for Common Fixed Points of a Family of Lipschitz Quasi-Pseudo-Contractive Mappings in Hilbert Spaces[J]. Journal of Ordnance Engineering College, 2009, 21(6): 72-74 |
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| Authors: | CHEN Do＇ng-qing LIU Li-hong FENG Guang-hui |
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| Affiliation: | ( Department of Basic Courses, Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | This paper modifies the classical hybrid projection algorithm and introduces a new algorithm for common fixed points for a family of Lipschitz quasi-pseudo-contractive mappings in Hilbert spaces. Then a strong convergence theorem is proved by the modified algorithm. The result presented in this paper ex- tends those obtained in reference[ 1 ] |
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| Keywords: | Hilbert space Lipschitz quasi-pseudo-contractive mapping common fixed point hybrid pro- jection. |
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