两族集值渐近非扩张映射的不动点收敛定理

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

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

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

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/Abstract

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

中图分类号:

O177

宋传静, 吴健荣. 两族集值渐近非扩张映射的不动点收敛定理[J]. 华东师范大学学报(自然科学版), 2013, 2013(1): 41-46, 75.

SONG Chuan-jing, WU Jian-rong. Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings[J]. Journal of East China Normal University(Natural Sc, 2013, 2013(1): 41-46, 75.