两个泛函优化定理的证明  

Proof of Two functional optimizing Theorems

作　　者：甄苓[1] 经玲[1] 林海波[1] 

机构地区：[1]中国农业大学理学院,北京100083

出　　处：《数学的实践与认识》2011年第19期241-244,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10971223;11071252)

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.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.

关 键 词：凸映射 乘子 对偶 

分 类 号：O224[理学—运筹学与控制论]