| 实Hilbert空间中一个拟非扩张映射有限族的公共不动点的粘滞逼近算法 |
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| 引用本文： | 何江彦,周海云,霍晓燕.实Hilbert空间中一个拟非扩张映射有限族的公共不动点的粘滞逼近算法[J].数学研究及应用,2016,36(3):351-358. |
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| 作者姓名： | 何江彦 周海云 霍晓燕 |
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| 作者单位： | 军械工程学院数学系, 河北 石家庄 050003,军械工程学院数学系, 河北 石家庄 050003,军械工程学院数学系, 河北 石家庄 050003 |
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| 基金项目： | 国家自然科学基金 (Grant No.11071053). |
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| 摘 要： | 本文构造了两种平行算法, 用来解决实Hilbert空间中有限多个拟非扩张映射的公共不动点的问题,这两种算法改进完善了本方向以前所得的结果.
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| 关 键 词： | 拟非扩张映射 不动点 变分不等式 平行算法 |
| 收稿时间： | 2015/5/30 0:00:00 |
| 修稿时间： | 2015/12/16 0:00:00 |
Viscosity Approximation Methods for Common Fixed Points of a Finite Family of Quasi-Nonexpansive Mappings in Real Hilbert Spaces |
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| Jiangyan HE,Haiyun ZHOU and Xiaoyan HUO.Viscosity Approximation Methods for Common Fixed Points of a Finite Family of Quasi-Nonexpansive Mappings in Real Hilbert Spaces[J].Journal of Mathematical Research with Applications,2016,36(3):351-358. |
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| Authors: | Jiangyan HE Haiyun ZHOU and Xiaoyan HUO |
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| Institution: | Department of Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China,Department of Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China and Department of Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China |
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| Abstract: | In this paper, we present two parallel algorithms to compute common fixed points of a finite family of quasi-nonexpansive mappings in real Hilbert spaces, which improve and generalize some known results in this direction. |
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| Keywords: | quasi-nonexpansive mappings fixed point variational inequality parallel algorithms |
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