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  

The Saddle Point Conditions and Lagrangean Duality of Optimization Problem with Vector Set-values Mapping in Partially Ordered Linear Spaces

作　　者：卢占禹 

机构地区：[1]南昌陆军学院,南昌330103

出　　处：《应用数学》1995年第1期26-30,共5页Mathematica Applicata

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。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.

关 键 词：对偶定理 最佳化 解 向量集值映射 线性空间 

分 类 号：O224[理学—运筹学与控制论]