华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (1): 41-46, 75.

• 应用数学与基础数学 • 上一篇    下一篇

两族集值渐近非扩张映射的不动点收敛定理

宋传静,  吴健荣   

  1. 苏州科技学院~数理学院 江苏~~苏州 215011
  • 收稿日期:2012-04-01 修回日期:2012-07-01 出版日期:2013-01-25 发布日期:2013-01-18

Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

SONG Chuan-jing, WU Jian-rong   

  1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou Jiangsu 215011, China
  • Received:2012-04-01 Revised:2012-07-01 Online:2013-01-25 Published:2013-01-18

摘要: 研究一致凸\,Banach\,空间中两族集值渐近非扩张映射的公共不动点逼近问题.
构造关于两族集值渐近非扩张映射的有限步迭代序列; 在适当条件下,
证明了该序列收敛到公共不动点的一些强收敛定理;
改进和推广了一些相关文献的结果.

关键词: 一致凸\,Banach\,空间, 集值渐近非扩张映射, 有限步迭代序列, 公共不动点

Abstract: The common fixed points of two finite families of
set-valued asymptotically nonexpansive mappings were studied in real
uniformly convex Banach spaces. A finite-step iteration process for
these two families was introduced, and some strong convergence
theorems for this scheme were proved. The results improve and extend
some recent relative results.

Key words: uniformly convex Banach space, set-valued asymptotically nonexpansive mapping, finite-step iteration process, common fixed points

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