对称弧式连通凸多目标半无限规划的最优性  

Optimality for Symmetric Arcwise-connected Convex Multiobjective Semi-infinite Programming

作　　者：张蕾蕾[1] 

机构地区：[1]西安邮电学院数理系,陕西西安710121

出　　处：《数学的实践与认识》2009年第21期161-165,共5页Mathematics in Practice and Theory

摘　　要：以弧式连通函数和对称梯度为基础,研究新函数在多目标半无限规划下的最优性理论.定义了一类新的弧式连通函数,对称弧式连通函数、对称拟弧式连通函数、对称弱拟弧式连通函数、对称伪弧式连通函数、对称严格伪弧式连通函数,讨论了这些函数在多目标半无限规划下的最优性.给出更加广义的弧式连通函数,将它们运用到多目标半无限规划.To study the optimality conditions for nonsmooth multiobjective semi-infinite programming with new functions. Symmetric arcwise-connected convex, symmetric quasi arcwise-connected convex, symmetric weak quasi arcwise-connected convex, symmetric pseudo arewise-conneeted convex, strictly symmetric pseudo arcwise-connected convex were defined. Study the optimality conditions for nonsmooth multiobjective semi-infinite programming with these functions.

关 键 词：对称弧式连通凸函数 多目标半无限规划 最优性条件 

分 类 号：O174.13[理学—数学]