非凸多目标主从向量集值优化锥有效解的最优性条件  

The optimality conditions for nonconvex vector top base optimization of set valued maps

作　　者：盛宝怀[1] 刘三阳[1] 刘莹[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《西安电子科技大学学报》2000年第6期752-755,共4页Journal of Xidian University

基　　金：陕西省自然科学基金资助项目!(99SL0 2 )

摘　　要：运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理 .引入向量优化弱Benson真有效元的概念 ,对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足La grange乘子型的必要及充分条件 ,并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件 .A theorem of the alternative for the generalized subconvexlike set valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top base constrained optimization of set valued maps with the Benson proper efficiency are obtained.

关 键 词：非凸多目标 最优性条件 主从向量集值优化 

分 类 号：O224[理学—运筹学与控制论]