| 偏序线性空间中向量集值映射最优化问题解的鞍点条件和Lagrange对偶 |
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| 引用本文： | 卢占禹.偏序线性空间中向量集值映射最优化问题解的鞍点条件和Lagrange对偶[J].应用数学,1995,8(1):26-30. |
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| 作者姓名： | 卢占禹 |
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| 作者单位： | 南昌陆军学院 南昌 |
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| 摘 要： | 本文在没有任何拓扑结构的条件下，给出了向量集值映射最优化问题解的鞍点充分和必要条件以及Ｌａｇｒａｎｇｅ对偶，从而将文献（１）中的有关结果推广到更一般的偏序线性空间，并进一步给出了逆对偶定理。
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| 关 键 词： | 对偶定理 最佳化 解 向量集值映射 线性空间 |
The Saddle Point Conditions and Lagrangean Duality of Optimization Problem with Vector Set-values Mapping in Partially Ordered Linear Spaces |
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| Lu Zhanyu.The Saddle Point Conditions and Lagrangean Duality of Optimization Problem with Vector Set-values Mapping in Partially Ordered Linear Spaces[J].Mathematica Applicata,1995,8(1):26-30. |
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| Authors: | Lu Zhanyu |
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| Institution: | Nanchang Army Institute |
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| Abstract: | In this paper,We give the saddle point conditions of Solutions and Lagrange an Duality for Optimization problem with vector Set-Values mapping in partilly ordered Linear space without any topological structure.
The results in 1] have been generalized to the partilly ordered Liner space and the inverse Duality Theorey has been given. |
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| Keywords: | Saddle point sufficient condition Saddle point necessary condition Duality theorem |
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