序线性空间中广义半似凸集值映射向量优化的Benson真有效性  

Benson Proper Efficiency of Vector Optimization with Generalized Semiconvexlike Set-Valued Maps in Ordered Linear Spaces

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：《运筹学学报》2007年第3期95-104,共10页Operations Research Transactions

摘　　要：在序线性空间中建立了广义半似凸集值映射的择一定理.利用向量闭包,引进了集值优化的Benson真有效解.在广义半似凸的假设下,获得了Benson真有效性意义下的标量化定理,Lagrangian乘子定理和鞍点定理.An alternative theorem of generalized semiconvexlike set-valued maps is established in ordered spaces. Using vector closure, Benson proper efficient solution of set-valued optimization is introduced.Under the assumption of generalized semiconvexlikeness, scalarization, Lagrangian multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.

关 键 词：运筹学 集值映射 广义半似凸 择一定理 BENSON真有效解 

分 类 号：O224[理学—运筹学与控制论]