华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (3): 49-57.

• 数学 统计学 • 上一篇    下一篇

渐近非扩张映象隐迭代的强弱收敛定理（英）

全靖1, 张石生2, 龙宪军3   

  1. 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
  • 收稿日期:2006-01-06 修回日期:2006-06-16 出版日期:2007-05-25 发布日期:2007-05-25
  • 通讯作者: 全靖

Strong and Weak Convergences of Implicit Iteration Process for Some Asymptotically Nonexpansive Mappings(English)

QUAN Jing1, ZHANG Shi-sheng2, LONG Xian-jun3   

  1. 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
  • Received:2006-01-06 Revised:2006-06-16 Online:2007-05-25 Published:2007-05-25
  • Contact: QUAN Jing

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

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.

Key words: implicit iteration sequence, common fixed point, asymptotically nonexpansive mapping, implicit iteration sequence, common fixed point

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