| 两族渐进非扩张映射隐迭代序列收敛定理 |
| |
| 引用本文： | 宋传静,吴健荣.两族渐进非扩张映射隐迭代序列收敛定理[J].华南师范大学学报(自然科学版),2013,45(1):27-0. |
| |
| 作者姓名： | 宋传静 吴健荣 |
| |
| 作者单位： | 1.1.苏州科技学院 |
| |
| 基金项目： | 国家自然科学基金项目(10972151);江苏省研究生培养创新工程项目(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空间中两族渐进非扩张映射的公共不动点逼近问题.构造关于两族渐进非扩张映射的隐迭代序列，并在适当条件下，证明了该序列收敛到公共不动点的一些强弱收敛定理，改进和推广了一些相关文献的结果.
|
| 关 键 词： | 一致凸Banach空间 渐进非扩张映射 隐迭代序列 公共不动点 |
| 收稿时间： | 2011-09-18 |
Convergence Theorems for an Implicit Iteration Process of Two Finite Families of Asymptotically Nonexpansive Mappings |
| |
| SONG Chuanjing
,
WU Jianrong.Convergence Theorems for an Implicit Iteration Process of Two Finite Families of Asymptotically Nonexpansive Mappings[J].Journal of South China Normal University(Natural Science Edition),2013,45(1):27-0. |
| |
| Authors: | SONG Chuanjing WU Jianrong |
| |
| 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 asymptotically non-expansive mappings are studied in real uniformly convex Banach spaces. An implicit iteration process defined by two finite families of asymptotically non-expansive mappings is introduced， and some strong and weak convergence theorems to a common fixed point for this scheme are proved. The results presented in this paper improve and extend some recent literature results. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《华南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华南师范大学学报(自然科学版)》下载免费的PDF全文 |
