| 不动点定理和集值映象的广义导数 |
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| 引用本文： | 兰坤泉.不动点定理和集值映象的广义导数[J].四川师范大学学报(自然科学版),1993(4). |
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| 作者姓名： | 兰坤泉 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文在较弱的边界条件下.证明了一个不动点定理.然后引入集值映象的广义可微概念,并应用所获得的定理,证明了另外几个关于广义可微映象的不动点定理,本文始终没用不动点指数理论.
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| 关 键 词： | 半紧1-集压缩映象 广义导数 不动点 |
FIXED POINT THEOREMS AND GENERALIZED DIFFERENTIABLE FOR MULTIVALUED MAPS |
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| Lan Kunquan.FIXED POINT THEOREMS AND GENERALIZED DIFFERENTIABLE FOR MULTIVALUED MAPS[J].Journal of Sichuan Normal University(Natural Science),1993(4). |
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| Authors: | Lan Kunquan |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper we prove a fixed point theorem under weaker boundary condition, then we introduce the concept of generalized differenfiable for multivalued maps. Using our theorem we prove a few theorems for generalized differentiable maps. It is noticeable that our theorems are proved without using the fixed point index theory. |
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| Keywords: | semi-compact 1-set contractive map generalized differentiable fixed point |
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