| 渐近拟非扩张型非自映象的修正Ishikawa Reich-Takahashi迭代逼近问题 |
| |
| 引用本文： | 孟京华,刘文军.渐近拟非扩张型非自映象的修正Ishikawa Reich-Takahashi迭代逼近问题[J].南昌大学学报(理科版),2011,35(5):1. |
| |
| 作者姓名： | 孟京华 刘文军 |
| |
| 作者单位： | 九江学院理学院； |
| |
| 基金项目： | 江西省自然科学基金资助项目(2007GQS0142) |
| |
| 摘 要： | 给出渐近拟非扩张型的非自映象定义,并对其引入了一个新的修正的Ishikawa Reich-Takahashi迭代程序。在一致凸Banach空间中讨论了此迭代序列的强收敛性,获得了此迭代序列强收敛到渐近拟非扩张型非自映象的不动点的相关结论。改进和发展了文献1-10]的相关结果。
|
| 关 键 词： | 保核收缩映像 修正的Ishikawa Reich-Takahashi迭代序列 渐近拟非扩张型的非自映象 |
Iterative approximation problem of modified ishkawa reich-takahashi iterative process for asymptotically quasi-nonexpansive type nonself-maps |
| |
| MENG Jing-hua
,
LIU Wen-jun.Iterative approximation problem of modified ishkawa reich-takahashi iterative process for asymptotically quasi-nonexpansive type nonself-maps[J].Journal of Nanchang University(Natural Science),2011,35(5):1. |
| |
| Authors: | MENG Jing-hua LIU Wen-jun |
| |
| Institution: | MENG Jing-hua,LIU Wen-jun(Department of Mathematics,Jiujiang College,Jiangxi JiuJiang 332000,China) |
| |
| Abstract: | The concept of asymptotically quasi-nonespansive type nonself-maps was introduced.A new modified Ishikawa Re ich-ITakahashi type iterative process for asymptotically quasi-nonespansive type nonself-maps was given.Its strong convergence in uniformly convex Banach space was discussed.Some new results on strong.Convergences of iterative sequence of the fixed point for asymptotically quasi-nonespansive nonself-maps were obtained.These improve and extend some corresponding results in papers. |
| |
| Keywords: | asymptotically quasi-nonexpansive type nonself-maps contraction mapping with kernel presering modified Ishikawa Re ich-ITakahashi iterative sequence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《南昌大学学报(理科版)》浏览原始摘要信息 |
| 点击此处可从《南昌大学学报(理科版)》下载免费的PDF全文 |
