| 两族集值渐近非扩张映射的不动点收敛定理 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 宋传静 吴健荣 |
| |
| 作者单位： | 苏州科技学院数理学院 江苏苏州 215011 |
| |
| 基金项目： | 江苏省研究生培养创新工程(CXZZ11_0950);苏州科技学院研究生科研创新计划(SKCX11S_054) |
| |
| 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 |
| 收稿时间： | 2012-04-01 |
Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings |
| |
| 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 Science),2013,2013(1):41-46,75. |
| |
| Authors: | SONG Chuan-jing WU Jian-rong |
| |
| Institution: | (School of Mathematics and Physics,Suzhou University of Science and Technology, Suzhou Jiangsu 215011,China) |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《华东师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华东师范大学学报(自然科学版)》下载免费的PDF全文 |
