严格预不变凸函数的两个性质(英文)  

Two Properties of Strictly Preinvex Functions

作　　者：彭建文[1] 杨新民[2] 

机构地区：[1]内蒙古大学数学系,呼和浩特010021 [2]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《运筹学学报》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)

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.

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 

分 类 号：O174.4[理学—数学] O22[理学—基础数学]