Benson真有效意义下向量集值优化的广义Fritz John条件  

On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency

作　　者：盛宝怀[1] 刘三阳[1] 

机构地区：[1]西安电子科技大学应用数学系

出　　处：《应用数学和力学》2002年第12期1289-1295,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 (6 9972 0 36 );宁波市博士基金资助项目;宁波大学博士后基金资助项目

摘　　要：引入了一种有关集值映射的切导数和强、弱 伪凸的概念·　借助凸集分离定理及锥分离定理建立了Benson真有效意义下向量集值优化导数型的FritzJohn最优性条件 。A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set_valued map are introduced.By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set_valued optimization under Benson proper efficiency is established,its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set_valued map is specialized to be a single_valued map.

关 键 词：向量集值优化 Countingent切锥 集值映射 Benson真有效 FritzJohn条件 

分 类 号：O224[理学—运筹学与控制论] O221.6[理学—数学]