| 无限维的不可微凸规划 |
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| 引用本文： | 梁昔明,寿纪麟.无限维的不可微凸规划[J].工程数学学报,1996,13(1):77-82. |
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| 作者姓名： | 梁昔明 寿纪麟 |
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| 作者单位： | 西安交通大学理学院 |
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| 摘 要： | 本文在局部凸Ｈａｕｓｄｏｒｆｆ线性拓扑空间中讨论了一类不可微的凸规划，得到了Ｋｕｈｎ－Ｔｕｃｋｅｒ最优性条件和对偶定理。
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| 关 键 词： | 不可微凸规划 无限维 凸规划 拓扑空间 |
The Nondifferentiable Convex Programming in Infinite-Dimensional Spaces |
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| Liang Ximing,Shou Jilin.The Nondifferentiable Convex Programming in Infinite-Dimensional Spaces[J].Chinese Journal of Engineering Mathematics,1996,13(1):77-82. |
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| Authors: | Liang Ximing Shou Jilin |
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| Abstract: | In this paper,a kind of nondifferentiable convex programming is discussed in locally convex Hausdorff linear topological space,and the Kuhn-Tucker optimality conditions and duality theorems are obtained.By complementarity problem for set-valued mapping,we study its solvability in reflexive Banach spaces and extend some results in finite dimentional space. |
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| Keywords: | Nondifferentiable convex programming Optimality conditions Duality Solvability |
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