| 一般随机不动点定理及其应用 |
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| 引用本文： | 丁协平. 一般随机不动点定理及其应用[J]. 应用数学和力学, 1984, 5(5): 699-708 |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范学院数学系 |
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| 摘 要： | 在本文中我们得到了一个一般的随机不动点定理,推广了Engl[4,7]和Bocsan[8]的主要结果.这一定理的有用性在于目前由许多作者用特殊方法得到的随机不动点定理[1,4,5-13]均能利用我们的一般定理(定理1和系1,2)得到,最后给出了我们的定理对随机积分和微分方程的应用.
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| 收稿时间： | 1983-08-12 |
General Random Fixed Point Theorem and Its Applications |
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| Affiliation: | Sichuan Normal College, Chengdu |
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| Abstract: | In this paper,we obtain a general random fixed point theorem which generalizes the main results of Engle[4,7] and Bocsan[8]. The usefulness of this theorem seems to lie in the fact that unlike many random fixed point theorems obtained by using special methods[1,4,5-13] can be proved by using out general theorem(Theorem 1 and Corollaries 1 and 2). Finally,we indicate some possible applications of our results to nonlinear random integral and differential equations. |
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