用广义高阶锥方向邻接导数刻画集值优化的超有效解  

Super Efficient Solutions of Set-Valued Optimization with Generalized Higher-Order Cone-Directed Adjacent Derivatives

作　　者：韩倩倩[1] 徐义红[1] 汪涛[1] 涂相求[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《吉林大学学报（理学版）》2012年第6期1146-1150,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10461007);江西省自然科学基金(批准号:2009GZS0021);江西省教育厅科技项目(批准号:GJJ12010)

摘　　要：在赋范线性空间中利用广义高阶锥方向邻接导数研究集值优化问题的超有效解.在近似锥-次类凸假设下,借助凸集分离定理和Henig扩张锥的性质,得到了集值优化问题取得超有效元的Fritz John型必要条件.In normed linear spaces, the super efficient solutions of set-valued optimization were investigated with generalized higher-order cone-directed adjacent derivatives. Under the assumption of near cone-subconvexlikeness, with the help of separate theorem for convex sets and the properties of Henig dilating cone, the type of Fritz John necessary optimality condition was established for set-valued optimization problem to obtain its super efficient elements.

关 键 词：超有效解 广义m阶C-方向邻接导数 集值优化 

分 类 号：O221.6[理学—运筹学与控制论]