| 不连续随机算子随机不动点定理及其应用 |
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| 引用本文： | 李志龙.不连续随机算子随机不动点定理及其应用[J].数学物理学报(A辑),2010,30(2):542-547. |
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| 作者姓名： | 李志龙 |
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| 作者单位： | 江西财经大学数学系,南昌,330013 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金，江西省高校人文社会科学项目，江西财经大学项目 |
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| 摘 要： | 该文利用半序理论和随机压缩映象原理,得到了一类不连续随机增算子随机不动点的唯一存在定理.作为应用,考虑了R~n中含间断项的一阶随机微分积分方程初值问题.
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| 关 键 词： | 不连续随机算子 随机压缩映象原理 随机不动点 随机微分积分方程 |
| 收稿时间： | 2007-12-25 |
| 修稿时间： | 2009-05-25 |
Random Fixed Points Theorem of a Class of Discontinuous Random Operators and Its Application |
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| Li Zhilong.Random Fixed Points Theorem of a Class of Discontinuous Random Operators and Its Application[J].Acta Mathematica Scientia,2010,30(2):542-547. |
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| Authors: | Li Zhilong |
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| Institution: | Li Zhilong (Department of Mathematics,Jiangxi University of Finance , Economics,Nanchang 330013) |
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| Abstract: | By using the order theory and random contracted mapping theorem,the existence and uniqueness of random fixed point for a class of discontinuous random operators is obtained. As an application,the existence of the random solution for the initial value problem of the random differential and integral equations in R~n is established. |
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| Keywords: | Discontinuous random operator Random contracting mapping theorem Random fixed points Random differentiation and integration equations |
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