| 凸分析若干结果探讨 |
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| 引用本文： | 旷华武.凸分析若干结果探讨[J].应用数学学报,2012,35(4):595-607. |
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| 作者姓名： | 旷华武 |
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| 作者单位： | 贵州大学理学院数学系,贵阳,550025 |
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| 基金项目： | 贵州省科技厅基金(黔科合J字 |
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| 摘 要： | 在实线性空间中引进了一类新广义凸集.讨论了它的一些性质,与之相联的Minkowski泛函与分离定理等.我们所得结果是经典凸分析中若干相应结果的推广,改进或等价表达.
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| 关 键 词： | 实线性空间 凸集 Minkowski泛函 凸集分离定理 |
Study on Some Results in Convex Analysis |
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| KUANG HUAWU.Study on Some Results in Convex Analysis[J].Acta Mathematicae Applicatae Sinica,2012,35(4):595-607. |
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| Authors: | KUANG HUAWU |
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| Affiliation: | KUANG HUAWU (Department of Mathematics,College of Science,Guizhou University,Guiyang 550025) |
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| Abstract: | A kind of new generalized convex sets in real linear spaces is introduced.Some properties,the Minkowski functions and separation theorems with respect to the generalized convex sets are discussed.Our results extended or improved the corresponding results in the classical convex analysis. |
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| Keywords: | real linear space convex set Minkowski function separation theorem between convex sets |
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