摘要
研究新函数在多目标半无限规划下的对偶性,以弧式连通函数和对称梯度为基础,利用解析方法,定义了一类新的弧式连通函数,即对称弧式连通函数、对称拟弧式连通函数、对称弱拟式连通函数、对称伪弧式连通函数、对称严格伪弧工连通函数,讨论了这些函数在多目标无限规划下的对偶性,并将它们运用到多目标半无限规划.
In the article,the duality conditions for nonsmooth multiobjective semi-infinite programming with new functions were studied.Symmetric arcwise-connected convex,symmetric quasi arcwise-connected conves,symmetric weak quasi arcwise-connected convex,symmetric pseudo arcwise-connected convex,strictly symmetric pseudo arcwise-connected convex were defined.Studied the duality conditions of these functions,and applied them on nonsmooth multiobjective semi-infinite programming.
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2010年第1期21-24,共4页
Journal of Anhui University(Natural Science Edition)
基金
陕西省教育厅专项科研计划基金资助项目(08JK356)
关键词
对称弧式连通凸函数
多目标半无限规划
对偶性条件
symmetric arcwise-connected convex function
multiobjective semi-infinite programming
duality conditions
