| Hilbert空间中次连续拟非扩张映像不动点的迭代方法 |
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| 引用本文： | 周海云.Hilbert空间中次连续拟非扩张映像不动点的迭代方法[J].军械工程学院学报,2008,20(1):69-71. |
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| 作者姓名： | 周海云 |
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| 作者单位： | 周海云（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(编号10771050) |
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| 摘 要： | 首次引用一种迭代算法，用来构造Hilbert空间中次连续拟非扩张映像的不动点；使用新的算法证明了一个强收敛定理，其优点是不要求映像具有次闭性质。
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| 关 键 词： | 次连续拟非扩张映像 修正的杂交投影算法 Hilbert空间 强收敛 |
| 文章编号： | 1008-2956(2008)01-0069-03 |
| 修稿时间： | 2007年11月27 |
Iterative Algorithm on Fixed Points for Demi-continuous Quasi-Nonexpansive Mappings in Hilbert Spaces |
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| ZHOU Hai-yun.Iterative Algorithm on Fixed Points for Demi-continuous Quasi-Nonexpansive Mappings in Hilbert Spaces[J].Journal of Ordnance Engineering College,2008,20(1):69-71. |
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| Authors: | ZHOU Hai-yun |
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| Institution: | ZHOU Hai-yun ( Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | In this paper, a modified hybrid projection iterative algorithm is introduced for constructing fixed points of demi-continuous and quasi-nonexpansive mappings in Hilbert spaces. With the modified iterative algorithm, a strong convergence theorem is proved. The main advantage of the new algorithm lies in the fact that the strong convergence result is established without making use of demi-closedness property for mappings considered here. |
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| Keywords: | demi-continuous and quasi-nonexpansive mapping modified hybrid projection algorithm Hilbert space strong convergence |
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