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| Hilbert空间中非扩张映像族公共不动点的存在性 | |
| 引用本文： | 高兴慧,马乐荣,周海云.Hilbert空间中非扩张映像族公共不动点的存在性[J].云南大学学报(自然科学版),2010,32(3):249-253. |
| 作者姓名： | 高兴慧 马乐荣 周海云 |
| 作者单位： | 1. 延安大学数学与计算机科学学院, 陕西延安 716000; 2. 石家庄军械工程学院数学系, 河北石家庄 050003 |
| 摘 要： | 在Hilbert空间中,首先利用距离投影算子技巧证明了由Aoyama,Kohsaka和Takahashi构造的关于非扩张映像族的收缩投影方法所生成的序列是有意义的;其次获得了非扩张映像族有公共不动点的几个充分必要条件. |
| 关 键 词： | 非扩张映像族 公共不动点 存在性 收缩投影方法 |
The existence of common fixed points for a family of nonexpansive mappings in Hilbert spaces |
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| GAO Xing-hui,MA Le-rong,ZHOU Hai-yun.The existence of common fixed points for a family of nonexpansive mappings in Hilbert spaces[J].Journal of Yunnan University(Natural Sciences),2010,32(3):249-253. | |
| Authors: | GAO Xing-hui MA Le-rong ZHOU Hai-yun |
| Institution: | 1. College of Mathematics and Computer Science, Yanan University, Yanan 716000, China; 2. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China |
| Abstract: | It is proved that the sequence generated by Aoyama,Kohsaka and Takahashi's shrinking projection method for a family of nonexpansive mappings is well defined by using metric projection operator technique,and then many necessary and sufficient conditions are obtained for the family of nonexpansive mappings having a common fixed point in a Hilbert space. |
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