| 隐迭代序列的有限族渐近非扩张映像的强收敛 |
| |
| 引用本文： | 王广兰,吴艳.隐迭代序列的有限族渐近非扩张映像的强收敛[J].洛阳大学学报,2007,22(2):18-22. |
| |
| 作者姓名： | 王广兰 吴艳 |
| |
| 作者单位： | 临沂师范学院,数学系,山东,临沂,276005 |
| |
| 基金项目： | 国家自然科学基金资助项目（项目编号：10671086）： |
| |
| 摘 要： | 在一致凸的Banach空间中,提出了一类新的两步隐迭代序列,在要求映象集族内某个T是半紧的条件下,证明了此序列收敛到有限族渐近非扩张映象的一般不动点.所得结果推广和改进了近期相应的结果.
|
| 关 键 词： | 一致凸性 隐迭代序列 非扩张映象 |
| 文章编号： | 1007-113X（2007）02-0018-05 |
| 修稿时间： | 2007-02-01 |
Strong Convergence of An Implicit Iteration Process for A Finite Family of Nonexpansive Mappings |
| |
| WANG Guang-lan,WU Yan.Strong Convergence of An Implicit Iteration Process for A Finite Family of Nonexpansive Mappings[J].Journal of Luoyang University,2007,22(2):18-22. |
| |
| Authors: | WANG Guang-lan WU Yan |
| |
| Institution: | The Department of Mathematics, Linyi Normal University, Linyi 276005, China |
| |
| Abstract: | We give and prove that modified implicit iteration sequence for a finite family of nonexpansive mappings convers strongly to a common fixed point of the family in a uniformly convex Banach space,requiring one member T in the family to be semicompact.Our results extend and improve some recent results. |
| |
| Keywords: | uniform convexity implicit iteration process nonexpansive mapping |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
