实序线性空间中集值优化ε-Henig真有效元二阶复合切上图导数的最优性条件  

Optimality Condition for ε-Henig Proper Efficient Elements with Second-order Compound Contingent Epiderivates in Real Order Linear Spaces

作　　者：余丽[1] YU Li(Institute of Mathematics and Computer of Science, Research Centre of Applied Mathematics, Yichun University, Yichun 336000, Jiangx)

机构地区：[1]宜春学院数学与计算机科学学院和应用数学研究中心,江西宜春336000

出　　处：《四川师范大学学报（自然科学版）》2018年第4期506-509,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：江西省教育厅科技项目(GJJ161031)

摘　　要：在实序线性空间中,借助二阶复合切上图导数的概念,利用ε-Henig真有效元的性质,建立集值优化问题ε-Henig真有效元的二阶必要最优性条件,并推广了相关的结论.In real ordered linear spaces,by employing the concept of second-order compound contingent epiderivative and the properties of ε-Henig proper efficient element,we establish the second-order necessary optimality condition of ε-Henig proper efficient element for set-valued optimization problem. The results in this paper generalize the correspording ones in the literature.

关 键 词：ε-Henig真有效元 二阶复合切上图导数 最优性条件 

分 类 号：O224[理学—运筹学与控制论]