| 两个泛函优化定理的证明 |
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| 引用本文： | 甄苓,经玲,林海波. 两个泛函优化定理的证明[J]. 数学的实践与认识, 2011, 41(19) |
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| 作者姓名： | 甄苓 经玲 林海波 |
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| 作者单位： | 中国农业大学理学院,北京,100083 |
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| 基金项目： | 国家自然科学基金(10971223,11071252) |
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| 摘 要： | 在泛函优化理论中,Lagrange乘子定理、对偶定理占有重要地位.建立了带有等式和不等式约束的泛函优化问题,并给出了广义Lagrange乘子定理、广义Lagrange对偶定理的证明.
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| 关 键 词： | 凸映射 乘子 对偶 |
Proof of Two functional optimizing Theorems |
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| ZHEN Ling,JING ling,LIN Hai-bo. Proof of Two functional optimizing Theorems[J]. Mathematics in Practice and Theory, 2011, 41(19) |
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| Authors: | ZHEN Ling JING ling LIN Hai-bo |
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| Affiliation: | ZHEN Ling,JING ling,LIN Hai-bo (Science College of China Agriculture University,Beijing 100083,China) |
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| Abstract: | In functional optimizing theories,the Lagrange multipliers theorem and the duality theorem occupy an important position.In this paper,functional optimization problem with constraints of equality and inequality is established and generalized Lagrange multipliers theorem,generalized duality theorem are proved. |
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| Keywords: | Convex mapping multiplier duality |
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