| 关于渐近伪压缩型映象的不动点的迭代构造 |
| |
| 引用本文： | 曾六川.关于渐近伪压缩型映象的不动点的迭代构造[J].系统科学与数学,2004,24(2):261-270. |
| |
| 作者姓名： | 曾六川 |
| |
| 作者单位： | 上海师范大学数学系,上海,200234 |
| |
| 基金项目： | 国家自然科学基金资助课题(19801023)，高等学校优秀青年教师教学，科研奖励基金 |
| |
| 摘 要： | 本文引入了Banach空间中一类渐近伪压缩型映象,它概括了熟知的若干映象类成特例.而且,还研究了关于这类映象的带误差的修改了的Ishikawa与Mann迭代序列的逼近问题.本文所得结果改进与推广了张石生教授的所有结果以及前人研究的相应结果.
|
| 关 键 词： | 渐近伪压缩型映象 带误差的修改了的Ishikawa迭代序列 带误差的修改了的Mann迭代序列 不动点 |
| 修稿时间： | 2001年8月20日 |
ON THE ITERATIVE CONSTRUCTION OF FIXED POINTS OF ASYMPTOTICALLY PSEUDOCONTRACTIVE TYPE MAPPINGS |
| |
| Lu Chuan ZENG.ON THE ITERATIVE CONSTRUCTION OF FIXED POINTS OF ASYMPTOTICALLY PSEUDOCONTRACTIVE TYPE MAPPINGS[J].Journal of Systems Science and Mathematical Sciences,2004,24(2):261-270. |
| |
| Authors: | Lu Chuan ZENG |
| |
| Institution: | Department of Mathematics,Shanghai Normal University, Shanghai 200234 |
| |
| Abstract: | A class of asymptotically pseudocontractive type mappings in Banach spaces is introduced, which includes a number of known classes of mappings as special cases. Moreover, the approximation problem of modified Ishikawa and Mann iterative sequences with errors for this class of mappings is investigated. The results presented in this paper improve and extend all the results in Chang and the corresponding results in Goebel and Kirk et al. |
| |
| Keywords: | Asymptotically pseudocontractive type mapping modified Ishikawa iterative sequence with errors modified Mann iterative sequence with errors fixed point |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
