摘要
我们考虑了由杨和李在[2]中引入的严格预不变凸函数,并得到了严格预不变凸函数的两个性质,这些性质包括与中间点严格预不变凸性和预不变凸函数有关的一个充分条件以及与半严格预不变凸函数和中间点严格预不变凸性有关的一个等价条件.
We consider in this paper the class of strictly preinvex functions introduced by Yang and Li in [2]. Two properties of strictly preinvex functions are obtained. These properties include a sufficient condition in terms of intermediate-point strict preinvexity and preinvexity and equivalent condition in terms of the semistrict preinvexity and intermediate-point strict preinvexity.
出处
《运筹学学报》
CSCD
北大核心
2005年第1期37-42,共6页
Operations Research Transactions
基金
This research was partially supported by the National Natural Science Foundation of China (Grant No.10171118)Education Committee project Research Foundation of Chongqing (Grant No. 030801)National Natural Science Foundation of Chongqing (Grant No. 8904)
关键词
不变凸函数
等价条件
中间点
凸性
充分条件
性质
个性
Operations research, strictly preinvex function, preinvex function, semistrictly preinvex function
