| 非扩张半群的粘性逼近问题 |
| |
| 引用本文： | 马乐荣,高兴慧,周海云. 非扩张半群的粘性逼近问题[J]. 四川师范大学学报(自然科学版), 2012, 0(2): 173-176 |
| |
| 作者姓名： | 马乐荣 高兴慧 周海云 |
| |
| 作者单位： | 延安大学数学与计算机科学学院;军械工程学院数学系 |
| |
| 基金项目： | 国家自然科学基金(10771050);陕西省教育厅科研计划(11JK0486)资助项目 |
| |
| 摘 要： | 在Hilbert空间中,设计了两种新的关于Meir-Keeler压缩映像的粘滞型迭代算法,用以逼近非扩张半群的公共不动点;在适当的条件下,利用所提出的算法证明了非扩张半群公共不动点的强收敛定理,所得结果是近期相关结果的改进与推广.
|
| 关 键 词： | 非扩张半群 粘性逼近 不动点 Meir-Keeler压缩映像 |
Viscosity Approximations for Nonexpansive Semigroups |
| |
| MA Le-rong,GAO Xing-hui,ZHOU Hai-yun. Viscosity Approximations for Nonexpansive Semigroups[J]. Journal of Sichuan Normal University(Natural Science), 2012, 0(2): 173-176 |
| |
| Authors: | MA Le-rong GAO Xing-hui ZHOU Hai-yun |
| |
| Affiliation: | 1.College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shaanxi; 2.Department of Mathematics,Mechanical Engineering College,Shijiazhuang 050003,Hebei) |
| |
| Abstract: | The purpose of this paper is to propose two kinds of new viscosity-type iterative algorithms with Meir-Keeler contractions in a Hilbert space.By using the proposed algorithms,the strong convergence theorems of common fixed points for nonexpansive semigroups are proved.The results of this paper improve and extend recent some relative results. |
| |
| Keywords: | nonexpansive semigroups viscosity approximation fixed point Meir-Keeler contraction |
| 本文献已被 CNKI 等数据库收录！ |
