| 随机局部凸空间及应用 |
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| 引用本文： | 刘清荣 巩馥洲. 随机局部凸空间及应用[J]. 烟台大学学报(自然科学与工程版), 1996, 0(2): 1-7 |
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| 作者姓名： | 刘清荣 巩馥洲 |
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| 作者单位： | 西北大学数学系，中国科学院应用数学所，中州大学数学系 |
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| 摘 要： | 对一类不必局部凸线性拓扑空间上给出了一种新结构──随机局部凸结构．研究了其上的Ｓｃｈａｕｄｅｒ不动点定理及其它类型的不动点定理．其Ｓｃｈａｕｄｅｒ不动点定理部分回答了文献［９］中Ｓｃｈａｕｄｅｒ提出的著名猜想．并研究了随机微分方程解的存在性．
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| 关 键 词： | 不动点定理，随机局部凸空间，随机微分方程 |
The Randomly Locally Convex Spaces and It''s Applications |
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| Liu Qingrong. The Randomly Locally Convex Spaces and It''s Applications[J]. Journal of Yantai University(Natural Science and Engineering edirion), 1996, 0(2): 1-7 |
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| Authors: | Liu Qingrong |
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| Abstract: | he randomly locally convex spaces which are not necessarilly locally convex are defined. The fixed point theorem of the Schaoder's type is proved, which partially answers the Schauder's open problem. Using the theorem, the exisience of solution for stochastic differential equations is studied. Some new results are obtained under a group of conditions. Four criterions of relative compactness are also put forword. |
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| Keywords: | fixed point theorem stochastic differential equation randomly ledly convex space |
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