| Banach空间中关于非扩张映射的修改的Mann迭代算法的强收敛定理 |
| |
| 引用本文： | 蔡钢,步尚全. Banach空间中关于非扩张映射的修改的Mann迭代算法的强收敛定理[J]. 数学物理学报(A辑), 2014, 34(1): 1-8 |
| |
| 作者姓名： | 蔡钢 步尚全 |
| |
| 作者单位： | 清华大学数学科学系 |北京 100084 |
| |
| 基金项目： | 国家自然科学基金资助项目(11171172) 和高等学校博士学科点专项科研基金(20120002110044)资助. |
| |
| 摘 要： | 该文在Banach空间里引进一种新的修改的Mann算法,来寻求一族无限个非扩张映射的公共元素.在适当条件下,得到了一个强收敛定理.所得结果改进和推广了许多最近的相关结果.
|
| 关 键 词： | 强收敛 不动点 非扩张映射 Banach空间. |
| 收稿时间： | 2012-05-17 |
| 修稿时间： | 2013-08-21 |
Strong Convergence Theorems of a Modified Mann Iterative Method for Nonexpansive Mappings in Banach Spaces |
| |
| CAI Gang,BU Shang-Quan. Strong Convergence Theorems of a Modified Mann Iterative Method for Nonexpansive Mappings in Banach Spaces[J]. Acta Mathematica Scientia, 2014, 34(1): 1-8 |
| |
| Authors: | CAI Gang BU Shang-Quan |
| |
| Affiliation: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084 |
| |
| Abstract: | In this paper, we introduce a new modified Mann iterative algorithm for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings in a real Banach space. Then we prove a strong convergence theorem under some suitable conditions. Our results improve and extend the corresponding results announced by many others in the literature. |
| |
| Keywords: | Strong convergencezz Fixed pointzz Nonexpansive mappingzz Banach spacezz |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
