| 关于渐近拟非扩张算子不动点迭代逼近的注记 |
| |
| 引用本文： | 肖建中,朱杏华. 关于渐近拟非扩张算子不动点迭代逼近的注记[J]. 应用数学学报, 2004, 27(4): 608-616 |
| |
| 作者姓名： | 肖建中 朱杏华 |
| |
| 作者单位： | 南京信息工程大学数学系,南京,210044 |
| |
| 基金项目： | 江苏省教育厅自然科学基金资助项目 |
| |
| 摘 要： | 研究Banach空间中渐近拟非扩张算子及渐近φ-半压缩算子不动点的迭代逼近问题，给出带误差Ishikawa型迭代序列收敛的充要条件，所得结果修正与改进了[1]的主要结果，且推广了[2]及其他一些文献的相关结果。
|
| 关 键 词： | 渐近 不动点 迭代逼近问题 注记 Ishikawa型迭代序列 φ-半压缩算子 Banach空间 扩张 推广 修正 |
A NOTE ON ITERATIVE APPROXIMATION OF FIXED POINT FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE OPERATORS |
| |
| Xiao Jianzhong,ZHU XINGHUA. A NOTE ON ITERATIVE APPROXIMATION OF FIXED POINT FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE OPERATORS[J]. Acta Mathematicae Applicatae Sinica, 2004, 27(4): 608-616 |
| |
| Authors: | Xiao Jianzhong ZHU XINGHUA |
| |
| Abstract: | The iterative approximation problems of fixed points are studied for asymptotically quasi-nonexpansive and asymptotically (?)-hemicontractive operators in Banach spaces. Some sufficient and necessary conditions are given for Ishikawa type iterative sequences with errors to converge to fixed points. The results of this paper revise and improve the main results in [1], and extend the corresponding results in [2] and the others. |
| |
| Keywords: | Asymptotically quasi-nonexpansive operator asymptotically (?)-hemicontractive operator fixed point modified Ishikawa iterative sequence with errors |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
