| 实Banach空间中锥上的随机逼近和随机不动点定理 |
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| 引用本文： | 刘理蔚.实Banach空间中锥上的随机逼近和随机不动点定理[J].高校应用数学学报(A辑),1995(1). |
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| 作者姓名： | 刘理蔚 |
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| 作者单位： | 南昌大学 |
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| 摘 要： | 本文在实Ｂａｎａｃｈ空间的锥上证明了集值映射的随机逼近定理．作为应用，讨论了几个随机的不动点定理．我们的工作推广了Ｌｉｎ，Ｓｅｈｇａｌ和Ｓｉｎｇｈ的结果．
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| 关 键 词： | 随机逼近，锥，集值映射，不动点定理 |
RANDOM APPROXIMATIONS AND RANDOM FIXED POINT THEOREMS FOR SET VALUED MAPPING ON A CONE IN A REAL BANACH SPACE |
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| Liu Liwei.RANDOM APPROXIMATIONS AND RANDOM FIXED POINT THEOREMS FOR SET VALUED MAPPING ON A CONE IN A REAL BANACH SPACE[J].Applied Mathematics A Journal of Chinese Universities,1995(1). |
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| Authors: | Liu Liwei |
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| Abstract: | We prove two random approximation theorems on a cone in a real Banach space for set valued mappings. For applications,some random fixed point theorems are derived. Our work extends the results obtained by Lin,Sehgal and Singh. |
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| Keywords: | Random Approximation Cone Set Valued Mapping Fixed Point Theorem |
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