| 关于非扩张映像和非扩张半群的单调混杂算法 |
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| 引用本文： | 郭艳红,李志明.关于非扩张映像和非扩张半群的单调混杂算法[J].中国民航学院学报,2009,27(2):60-64. |
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| 作者姓名： | 郭艳红 李志明 |
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| 作者单位： | 中国民航大学理学院,天津,300300
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| 摘 要： | 在Hilbert空间中，使用单调混杂算法，修正了由Zhao等引进的隐迭代格式，分别对一族有限个非扩张映像和非扩张半群证明了强收敛定理。同时，也使用这种算法来逼近单调算子的零点，并得到强收敛定理。
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| 关 键 词： | 非扩张映像 非扩张半群 单调算子 混杂算法 |
Monotone Hybrid Method for Nonexpansive Mappings and Nonexpansive Semigroups |
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| GUO Yan-hong,LI Zhi-ming.Monotone Hybrid Method for Nonexpansive Mappings and Nonexpansive Semigroups[J].Journal of Civil Aviation University of China,2009,27(2):60-64. |
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| Authors: | GUO Yan-hong LI Zhi-ming |
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| Institution: | (College of Science, CA UC, Tianjin 300300, China) |
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| Abstract: | In Hilbert spaces, using monotone hybrid method, we modify an implicit iteration scheme introduced by J. Zhao et al. for a finite family nonexpansive mappings and a nonexpansive semigroup, and prove strong convergence theorems. Meanwhile, this method was applied to approximate zero-point of monotone operators and obtain strong convergence theorem. |
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| Keywords: | nonexpansive mapping nonexpansive semigroups monotone operators hybrid method |
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