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向量最优化问题的Lagrange对偶与择一定理
引用本文:黄正海,胡适耕.向量最优化问题的Lagrange对偶与择一定理[J].应用数学,1997,10(4):18-22.
作者姓名:黄正海  胡适耕
作者单位:华中理工大学数学系!武汉,430074,华中理工大学数学系!武汉,430074,华中理工大学数学系!武汉,430074
摘    要:本文讨论无限维向量最优化问题的Lagrange对偶与弱对偶,建立了若干鞍点定理与弱鞍点定理.作为研究对偶问题的工具,建立了一个新的择一定理.

关 键 词:向量最优化  Lagrange对偶  择一定理

Lagrange Duality and Alternative Theorem of Vector Optimization Problem
Huang Zhenghai, Hu Shingeng, Sheng Yi.Lagrange Duality and Alternative Theorem of Vector Optimization Problem[J].Mathematica Applicata,1997,10(4):18-22.
Authors:Huang Zhenghai  Hu Shingeng  Sheng Yi
Abstract:In this paper, Lagrange duality and weak duality of infinite dimensional vector optimization problem are disscussed. A few saddle point theorems and weak saddle point theorems are established. As a tool for researching duality problem, a new alternative theorem is established.
Keywords:Vector optimization problem  Lagrange duality  Alternative theorem    
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