| Hilbert空间中闭的拟非扩张映像不动点的迭代方法 |
| |
| 引用本文： | 张安,周海云. Hilbert空间中闭的拟非扩张映像不动点的迭代方法[J]. 数学的实践与认识, 2009, 39(11) |
| |
| 作者姓名： | 张安 周海云 |
| |
| 作者单位： | 1. 北京电子科技职业学院,数学教研室,北京,100026
2. 军械工程学院,应用数学研究所,河北,石家庄,050003 |
| |
| 摘 要： | 首次引入了一种迭代算法,用以构造Hilbert空间中闭的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.新算法的优点是不要求映像具有次闭性质.
|
| 关 键 词： | 闭拟非扩张映像 修正的杂交投影算法 Banach空间 强收敛 |
An Iterative Algorithm on Fixed Points for Closed and Quasi-Nonexpansive Mappings in Hilbert Spaces |
| |
| ZHANG An,ZHOU Hai-yun. An Iterative Algorithm on Fixed Points for Closed and Quasi-Nonexpansive Mappings in Hilbert Spaces[J]. Mathematics in Practice and Theory, 2009, 39(11) |
| |
| Authors: | ZHANG An ZHOU Hai-yun |
| |
| Abstract: | A modified hybrid projection is introduced for constructing fixed points of closed and qasi-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 mapping T. |
| |
| Keywords: | closed and quasi-nonexpansive mapping modified hybrid projection algorithm hilbert space strong convergence |
| 本文献已被 万方数据 等数据库收录！ |
