| Fenchel—Lagrange对偶问题 |
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| 引用本文： | 林晓颖.Fenchel—Lagrange对偶问题[J].哈尔滨师范大学自然科学学报,2009,25(4):45-47. |
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| 作者姓名： | 林晓颖 |
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| 作者单位： | 哈尔滨学院 |
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| 摘 要： | 针对优化问题：（CP）μ=inff（x） s.t．x∈C，g（x）∈-S，分别在主和对偶的闭性条件下，建立Fenchel—Lagrange对偶性．这个对偶条件完全地刻划了对问题（CP）的稳定的Fenchel—Lagrange对偶．
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| 关 键 词： | Fenchel—Lagrange对偶 s-凸映射 s-拟凸映射 s-下半连续 |
FENCHEL-LAGRANGE DUALITY |
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| Lin Xiaoying.FENCHEL-LAGRANGE DUALITY[J].Natural Science Journal of Harbin Normal University,2009,25(4):45-47. |
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| Authors: | Lin Xiaoying |
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| Institution: | Harbin University |
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| Abstract: | We establishing the Fenchel -Lagrange duality：（CP）μ=inff（x） s.t.x∈C,g（x）∈-S,under both primal and dual closeduess conditions. The dual condition characterizes completely the Stable Fenchel -Llagrange duality for problen（CP）. |
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| Keywords: | Fenchel-Lagrange duality S-convex mapping S-quasiconvex mapping S-lower semicontinuous |
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