| 关于随机算子若干问题的研究 |
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| 引用本文： | 朱传喜.关于随机算子若干问题的研究[J].应用泛函分析学报,2011,13(3):285-291. |
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| 作者姓名： | 朱传喜 |
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| 作者单位： | 南昌大学数学系,南昌,330031 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11071108,10761007,10461007); the Provincial Natural Science Foundation of Jiangxi(2010GZS0147) |
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| 摘 要： | 研究了新的随机不动点指数的计算问题,利用随机不动点指数的理论推广了著名的Amann定理.提出了随机算子的随机渐进歧点的新概念,并且研究了随机k(ω)-集压缩算子的随机渐进歧点的一些问题,也得到了若干新的结果.
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| 关 键 词： | 随机不动点指数 随机渐进歧点 随机固有元 |
Research on some Problems for Random Operators |
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| ZHU Chuanxi.Research on some Problems for Random Operators[J].Acta Analysis Functionalis Applicata,2011,13(3):285-291. |
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| Authors: | ZHU Chuanxi |
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| Institution: | ZHU Chuanxi Department of Mathematics,Nanchang University,Nanchang 330031,China |
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| Abstract: | In this paper,we investigate some new calculating problems of random fixed point index,and generalize the famous Amann's theorem by means of the theory of random fixed point index.Meanwhile,we introduce a new concept of random asymptotic ambiguous point of random operator,and investigate some problems of random asymptotic ambiguous point of random k(ω)-set-contractive operator,and obtain some new results. |
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| Keywords: | random fixed point index random asymptotic amnbiguous points random intrinsic element |
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