随机集值映射的不动点定理及其应用 |
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引用本文: | 丁协平. 随机集值映射的不动点定理及其应用[J]. 应用数学和力学, 1984, 5(4): 561-575 |
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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: | 本文对随机集值映射和随机集值映射组证明了几个新的随机不动点定理,然后我们给出了所得结果对非线性随机积分方程组和随机微分方程组的某些应用。我们的结果改进和推广了[4~7,9,11~17]中的若干最近结果。
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收稿时间: | 1983-01-14 |
Fixed Point Theorems of Random Set-Valued Mappings and Their Applications |
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Affiliation: | Sichuan Normel College, Chengdu |
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Abstract: | In this paper, first we show several new random fixed point theorems for random set-valued mappings and for a system of random set-valued mappings. Then, some applications of our results are given for the existence and uniqueness of random solution for a system of nonlinear random integral and differential equations. Our theorems improved and generalize many recent findings in [4-7, 9, 11-17]. |
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