集值优化问题强有效元的高阶Mond-Weir型对偶  

Higher Mond-Weir Duality of Strong Efficient Element with Set-valued Optimization Problem

作　　者：谢雪军[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：《宜春学院学报》2016年第12期42-45,共4页Journal of Yichun University

基　　金：江西省教育厅科技项目(批准号:GJJ13696)

摘　　要：在Banach空间中研究集值优化在强有效元意义下的高阶Mond-weir型对偶问题。在内部锥类凸假设下,利用高阶Contingent切导数的性质,借助凸集分离定理建立了强对偶定理,并得到了逆对偶问题。The higher Mond -weir duality problem is discussed in the sense of strong efficient element in Banach spaces. Under the assumption of the ic - cone - convexlikeness, by applying the properties of higher contingent de- rivatives and by employing the convex set separation theorem, strong duality theorem is established, and the con- verse duality theorem is derived, respectively.

关 键 词：强有效元 m-阶Contingent切导数 高阶Mond-Weir型对偶 最优性条件 

分 类 号：O221[理学—运筹学与控制论]