| 一致拟Lipschitzian映象的迭代逼近 |
| |
| 引用本文： | 黄小平,李雪松.一致拟Lipschitzian映象的迭代逼近[J].电子科技大学学报（自然科学版）,2006,35(4):564-566. |
| |
| 作者姓名： | 黄小平 李雪松 |
| |
| 作者单位： | 成都纺织高等专科学校教务处,成都,610023;四川大学数学学院,成都,610064 |
| |
| 摘 要： | 针对Banach空间中有界凸集上的一致拟Lipschitzian映象S和T,给出并证明了S和T不必连续的带误差的Ishikawa迭代序列收敛到其公共不动点的一个充要条件。
|
| 关 键 词： | Banach空间 Cauchy序列 一致拟Lipschitzian映象 带误差的Ishikawa迭代序列 |
| 收稿时间： | 2004-03-12 |
| 修稿时间： | 2004-03-12 |
Iterative Approximation for Uniformly Quasi-Lipschitzian Mappings |
| |
| HUANG Xiao-ping,LI Xue-song.Iterative Approximation for Uniformly Quasi-Lipschitzian Mappings[J].Journal of University of Electronic Science and Technology of China,2006,35(4):564-566. |
| |
| Authors: | HUANG Xiao-ping LI Xue-song |
| |
| Affiliation: | 1.The Office of Teaching Affairs,Chengdu Textile College Chengdu 610023;2.Department of Mathematics,Sichuan University Chengdu 610064 |
| |
| Abstract: | This paper studies the uniformly quasi-Lipschitzian mappings, S and T, on a bounded convex set in Banach space. S and T are defined on a bounded convex set and need not be continuous. A sufficient and necessary condition is then given and proved for Ishikawa iterative sequence with errors to converge to fixed points. |
| |
| Keywords: | Banach space Cauchy sequences uniformly quasi-Lipschtzian mapping Ishikawa iterative sequence with errors |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《电子科技大学学报（自然科学版）》浏览原始摘要信息 |
|
点击此处可从《电子科技大学学报（自然科学版）》下载全文 |
