| 随机单调算子的满射性及应用 |
| |
| 引用本文： | 肖建中,陶媛.随机单调算子的满射性及应用[J].数学学报,2008,51(2):391-400. |
| |
| 作者姓名： | 肖建中 陶媛 |
| |
| 作者单位： | 南京信息工程大学数理学院数学系,南京210044 |
| |
| 基金项目： | 国家自然科学基金资助项目（10671094） |
| |
| 摘 要： | 研究Banach空间中的随机单调算子,建立了连续随机单调算子的随机锐角原理、随机满射定理、随机双射定理及Hilbert空间上的一类连续随机算子的新的随机不动点定理,并应用随机强单调算子理论讨论了随机Hammerstein积分方程随机解的存在唯一性.
|
| 关 键 词： | 随机单调算子 随机算子方程 锐角原理 满射定理 |
| 文章编号： | 0583-1431（2008）02-0391-10 |
| 收稿时间： | 2007-01-18 |
Property of Surjection for Monotonic Random Operator and Its Application |
| |
| Jian Zhong XIAO Yuan TAO.Property of Surjection for Monotonic Random Operator and Its Application[J].Acta Mathematica Sinica,2008,51(2):391-400. |
| |
| Authors: | Jian Zhong XIAO Yuan TAO |
| |
| Institution: | Jian Zhong XIAO Yuan TAO Department of Mathematics, College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China |
| |
| Abstract: | The monotonic random operators are studied in Banach spaces. The random acute angle principle, random surjection theorem and random bijection theorem for the continuous monotonic random operators are established. Some new random fixed point theorems for continuous random operators in Hilbert spaces are obtained. Also, the existence of unique random solution for the random Hammerstein type integral equation is discussed by applying the theory of strongly monotonic random operator. |
| |
| Keywords: | monotonic random operator random operator equation acute angle principle surjection theorem |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
