用广义高阶导数刻画集值优化ε-严有效解  

The characterizations of ε-strictly efficient solutions of set-valued optimization with generalized higher-order 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：《东北师大学报（自然科学版）》2014年第2期35-39,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：江西省自然科学基金资助项目(20122BAB211004);江西省教育厅科技项目(GJJ13696)

摘　　要：在实赋范线性空间中讨论了集值优化问题ε-严有效解的广义高阶导数型最优性条件.利用广义高阶切集,在没有任何凸性假设下,借助基泛函及ε-严有效解的性质,得到了集值优化问题ε-严有效解的广义高阶导数型的必要和充分条件.The generalized higher-order derivatives optimality conditions for ε -strictly efficient solutions of set-valued optimization problems is discussed in real normed spaces. By virtue of the generalized higher-order tangent sets introduced, without any convexity assumption, by employing the properties of basic functional and ε -strictly efficient element, necessary and sufficient conditions are obtained forε -strictly efficient solutions for set-valued optimization problems.

关 键 词：ε-严有效解 广义m-阶切导数 必要条件 充分条件 

分 类 号：O224[理学—运筹学与控制论]