| 有限族非扩张映象的公共不动点的具误差和具扰动映射的迭代程序 |
| |
| 引用本文： | 王亚琴.有限族非扩张映象的公共不动点的具误差和具扰动映射的迭代程序[J].应用数学,2007,20(4):801-807. |
| |
| 作者姓名： | 王亚琴 |
| |
| 作者单位： | 上海师范大学数理信息学院,上海,200234 |
| |
| 摘 要： | 本文在实一致凸和q-一致光滑Banach空间中研究了一类新的有限族非扩张映象的公共不动点的具误差和具扰动映射的显式迭代程序并且得到了一些收敛性定理.特别地,获得了该显式迭代程序强收敛性的充要条件.本文所得到结果推广了文1]中的相应结果.
|
| 关 键 词： | 非扩张映射 具误差和具振动映射的显式迭代程序 Opial条件 公共不动点 半紧性 全连续 |
| 文章编号： | 1001-9847（2007）04-0801-07 |
| 修稿时间： | 2007-04-26 |
Iteration Scheme with Errors and Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| |
| WANG Ya-qin.Iteration Scheme with Errors and Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings[J].Mathematica Applicata,2007,20(4):801-807. |
| |
| Authors: | WANG Ya-qin |
| |
| Institution: | Mathematics and Sciences College,Shanghai Normal University,Shanghai 200234,China |
| |
| Abstract: | In this paper,we introduce a new explicit iteration scheme with errors and perturbed mapping for common fixed points of a finite family of nonexpansive mappings in real uniformly convex and q-uniformly smooth Banaeh spaces and establish some convergence theorems for this explicit iteration scheme.In particular,necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained.The results presented in this paper generalize the corresponding results of Wang^1]. |
| |
| Keywords: | Nonexpansive mapping Explicit iteration scheme with errors and perturbed mapping Opial condition Common fixed points Semi-compactness Completely continuous |
| 本文献已被 维普 万方数据 等数据库收录！ |
