用广义高阶锥方向导数刻画集值优化强有效元  

On Characterizations of Strongly Efficient Element of Set-Valued Optimization with Generalized Higher-Order Cone-Directed Derivatives

作　　者：余丽[1] 

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《西南师范大学学报（自然科学版）》2014年第3期41-44,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：江西省教育厅科技项目(GJJ13696)

摘　　要：在实赋范线性空间中研究集值优化问题强有效元的最优性条件.利用广义高阶锥方向相依导数,在内部锥类凸假设下,给出了无约束集值优化问题强有效元的广义高阶必要条件,并在没有任何凸性假设下利用凸集分离定理得到了充分条件.The optimality conditions of strongly efficient element of set-valued optimization have been con-sidered in real normed spaces.By employing the generalized higher-order cone-directed contingent deriva-tive introduced by Wang ect,under the assumption of the ic-cone-convexlikeness,the generalized higher-order necessary condition of strongly efficient element of unconstrained set-valued optimization has bene given,and sufficient condition been obtained without any convexity assumption by the separate theorem of convex sets.

关 键 词：广义高阶锥方向相依导数 强有效元 最优性条件 

分 类 号：O224[理学—运筹学与控制论]