| 分裂变分包含和非扩张映射的不动点公共元的Mann-Halpern算法 |
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| 引用本文： | 朱 胜,黄建华.分裂变分包含和非扩张映射的不动点公共元的Mann-Halpern算法[J].福州大学学报(自然科学版),2016,44(3):384-389. |
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| 作者姓名： | 朱 胜 黄建华 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建 福州 350116,福州大学数学与计算机科学学院,福建 福州 350116 |
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| 基金项目： | 福建省自然科学基金资助项目(2014J01008 ). |
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| 摘 要： | 在Hilbert空间中,针对分裂变分包含和无限族非扩张映射的不动点问题的公共解,引入一种迭代算法,在对参数进行适当的限制后,得到强收敛定理.最后,把所得的结果应用到分裂优化上.
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| 关 键 词： | 分裂变分包含 不动点问题 非扩张映射 预解算子 |
| 修稿时间： | 3/4/2015 12:00:00 AM |
Mann-Halpern approximation methods for split variational inclusion and fixed point problems of nonexpansive mapping |
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| ZHU Sheng and HUANG Jianhua.Mann-Halpern approximation methods for split variational inclusion and fixed point problems of nonexpansive mapping[J].Journal of Fuzhou University(Natural Science Edition),2016,44(3):384-389. |
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| Authors: | ZHU Sheng and HUANG Jianhua |
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| Institution: | College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China and College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China |
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| Abstract: | In this paper, we introduce an iterative algorithm for finding a common solution of split variational inclusion problem and fixed point problem of infinite family of nonexpansive mappings in Hilbert spaces. Moreover, we prove a strong convergence theorem under suitable control conditions. Finally, the application to split optimization problem problem is given by the result. |
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| Keywords: | Split variational inclusion problem fixed point problem nonexpansive operator resolvent operator |
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