| 随机收缩偶与随机算子方程组的解 |
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| 引用本文： | 邵永恒. 随机收缩偶与随机算子方程组的解[J]. 华南理工大学学报(自然科学版), 1990, 18(4): 125-126 |
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| 作者姓名： | 邵永恒 |
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| 作者单位： | 华南理工大学应用数学系 |
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| 摘 要： | 本文引入随机收缩偶,建立随机算子方程组公共随机解的存在性定理,使随机收缩理论与映像组公共随机不动点定理在Banach空间得以统一,并推广了随机收缩理论中的一些重要结果。
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| 关 键 词： | 随机收缩偶 随机算子方程 随机解 |
PAIRED RANDOM CONTRACTORS AND THE SOLUTIONS OF A SYSTEM OF RANDOM OPERATOR EQUATIONS |
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| Shao Yongheng Dept.of Appl.Math.,South China University of Technology. PAIRED RANDOM CONTRACTORS AND THE SOLUTIONS OF A SYSTEM OF RANDOM OPERATOR EQUATIONS[J]. Journal of South China University of Technology(Natural Science Edition), 1990, 18(4): 125-126 |
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| Authors: | Shao Yongheng Dept.of Appl.Math. South China University of Technology |
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| Abstract: | In this paper,we establish the existence theorems of thecommon random solutions for a system of random operator equationsby introducing paired random contractors.These theorems providea common basis for random contractor theory and common randomfixed point theorems,and generalize some important results inrandom contractor theory. |
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| Keywords: | random operator eguation solution |
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