一类带抽象集的半无限单目标规划的最优性必要条件  

Necessary optimality condition for a class of semi-infinite single objective programming with an abstract set

作　　者：陈荣波[1] 谢静[1] 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《江苏师范大学学报（自然科学版）》2017年第2期46-48,共3页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：重庆市教委科学技术研究项目(KJ1500309;KJ1400519);重庆市基础与前沿研究计划项目(cstc2015jcyjA00005)

摘　　要：研究一类目标函数和约束函数在Rn的凸子集C上都是局部Lipschitz连续的非光滑半无限单目标规划问题.在非光滑分式规划问题最优性必要条件的基础上,在一定约束条件下,利用PLV性质和择一性定理给出带有抽象集C的非光滑半无限单目标规划问题的最优性必要条件.Nonsmooth semi-infinite single objective programming problem where the objective and constraint functions are locally Lipschitz in convex subset Cof Rn are considered.Based on the optimality conditions for nonsmooth fractional programming problem,under certain constraint conditions,by using the properties of PLV and the theorem of alternative,necessary optimality conditions of a class of nonsmooth semi-infinite single objective programming problem with abstract set Care derived.

关 键 词：非光滑分析 约束品性 最优性必要条件 

分 类 号：O221.6[理学—运筹学与控制论]