广义次似凸集值优化的对偶定理  

Duality 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15期131-135,共5页Mathematics in Practice and Theory

摘　　要：我们讨论了广义次似凸集值优化的对偶定理.首先,我们给出了广义次似凸集值优化的对偶问题.其次,我们给出了广义次似凸集值优化的对偶定理.最后,我们考虑了广义次似凸集值优化问题的标量化对偶,并给出了一系列对偶定理.We discuss duality theorems of generalized subconvexlike set-valued optimality. Firstly, we give duality problem of generalized subconvexlike set-valued optimility. Secondly, we give duality theorems of generalized subconvexlike set-valued optimality Lastly, we consider scalarization duality of generalized subconvexlike set-valued optimality problem and give a series of duality theorems.

关 键 词：集值映射 广义次似凸 鞍点 对偶 

分 类 号：O189.1[理学—数学] O224[理学—基础数学]