一类多目标半无限规划的最优性条件  

Optimality Conditions for a Class of Multiobjective Semi-infinite Programming Problems

作　　者：赵洁[1] 

机构地区：[1]重庆师范大学涉外商贸学院数学与计算机学院,中国重庆401520

出　　处：《科技视界》2016年第14期43-43,74,共2页Science & Technology Vision

基　　金：重庆市自然科学基金(No.CSTC2012jj A00002);重庆师范大学涉外商贸学院校级科研项目(No.KY2015008)

摘　　要：G-不变凸函数是一类新的广义凸函数,是G-凸函数的推广。本文研究了一类多目标半无限规划问题,在G-不变凸性条件下,建立了该类问题有效解的Karush-Kuhn-Tucker充分条件。本文的结果是后续对偶理论研究的基础。G-invex functions is a class of generalized convex functions. It is a generalization of the G-convex functions. In this paper, a class of multiobjective semi-infinite programming problems is considered. Karush-Kuhn-Tucker sufficient optimality condition of efficient solution for such problem are established under the assumption of G-invexity. The results of this paper is the basis of subsequent duality theory research.

关 键 词：多目标规划 半无限规划 G-不变凸 最优性条件 

分 类 号：O221.2[理学—运筹学与控制论]