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| 渐近非扩张映象隐迭代的强弱收敛定理（英） | |
| 引用本文： | 全靖,张石生,龙宪军.渐近非扩张映象隐迭代的强弱收敛定理（英）[J].华东师范大学学报(自然科学版),2007,2007(3):49-57. |
| 作者姓名： | 全靖 张石生 龙宪军 |
| 作者单位： | 1. 重庆师范大学,数学与计算机学院,重庆,400047 2. 宜宾学院,数学系,四川宜宾,644007 3. 四川大学,数学学院,成都,610065 |
| 摘 要： | 明了在 Banach 空间中渐近非扩张映象隐迭代强弱收敛到公共不动点定理, 结果推广和改进了该领域近期获得的一系列成果. |
| 关 键 词： | 渐近非扩张映象 隐迭代 公共不动点 渐近非扩张映象 隐迭代 公共不动点 |
| 文章编号： | 1000-5641（2007）03-0049-09 |
| 收稿时间： | 2005-10 |
| 修稿时间： | 2005-10 |
Strong and Weak Convergences of Implicit Iteration Process for Some Asymptotically Nonexpansive Mappings(English) |
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| QUAN Jing,ZHANG Shi-sheng,LONG Xian-jun.Strong and Weak Convergences of Implicit Iteration Process for Some Asymptotically Nonexpansive Mappings(English)[J].Journal of East China Normal University(Natural Science),2007,2007(3):49-57. | |
| Authors: | QUAN Jing ZHANG Shi-sheng LONG Xian-jun |
| Institution: | 1. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China; 2. Department of Mathematics, Yibin University, Yibin Sichuan 644007, China; 3. Department of Mathematics, Sichuan University, Chengdu 610065, China |
| Abstract: | The purpose of this paper was to prove some strong and weak convergence theorems of the modified implicit iteration sequence to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented here improve many recent works. |
| Keywords: | asymptotically nonexpansive mapping implicit iteration sequence common fixed point |
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