广义次似凸集值优化的鞍点定理  

Saddle Point Theorems of Generalized Subconvexlike Set-valued Optimality

作　　者：周志昂[1] 

机构地区：[1]重庆工学院数理学院,重庆400050

出　　处：《数学的实践与认识》2007年第13期139-143,共5页Mathematics in Practice and Theory

摘　　要：讨论广义次似凸集值优化的鞍点定理.给出广义次似凸集值映射的两个性质.定义广义次似凸集值优化的Fritz-John鞍点和Kuhn-Tucker鞍点.获得一系列广义次似凸集值优化的鞍点定理.We discuss saddle point theorems of generalized subconvexlike set-valued optimality. Firstly, we give two properties of generalized subconvexlike set-valued maps. Secondly, we define Fritz-John saddle point and Kuhn-Tucker saddle point of set-valued maps. Lastly, a series of saddle point theorems of generalized subconvexlike set-valued optimality are obtained.

关 键 词：集值映射 广义次似凸 鞍点 

分 类 号：O224[理学—运筹学与控制论]