| Hilbert空间中Lipschitz伪压缩映像不动点的杂交投影算法 |
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| 引用本文： | 刘立红,陈东青,高改良.Hilbert空间中Lipschitz伪压缩映像不动点的杂交投影算法[J].河北师范大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 刘立红 陈东青 高改良 |
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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，军械工程学院科学研究基金 |
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| 摘 要： | 给出了Hilbert空间中Lipschitz伪压缩映像不动点的一个杂交投影算法,并利用所给出的杂交投影算法与新的发析技巧证明了一个强收敛定理.所得结果肯定地回答了Marino和Xu所提出的一个公开问题,从而将近期的许多相关结果推广到更一般的场合.
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| 关 键 词： | Hilbert空间 Lipschitz伪压缩映像 不动点 杂交投影算法 |
Hybrid Projection Algorithm for Fixed Points of Lipschitz Pseudo-contractive Mappings in Hilbert Spaces |
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| LIU Li-hong,CHEN Dong-qing,GAO Gai-liang.Hybrid Projection Algorithm for Fixed Points of Lipschitz Pseudo-contractive Mappings in Hilbert Spaces[J].Journal of Hebei Normal University,2009,33(1). |
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| Authors: | LIU Li-hong CHEN Dong-qing GAO Gai-liang |
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| Institution: | Department of Basic Courses;Ordnance Engineering College;Hebei Shijiazhuang 050003;China |
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| Abstract: | The classical hybrid projection algorithm is modified by introducing a new algorithm for Lipschitz pseudo-contractive mappings in Hilbert spaces.Then a strong convergence theorem is proved by the modified algorithm and new analysis technique.The result answers an open question proposed by Marino and Xu and consequently,many recent corresponding results are extended to more general setting. |
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| Keywords: | Hilbert space Lipschitz pseudo-contractive mapping fixed point hybrid projection algorithm |
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