半严格不变凸函数  

Semistrictly Invex Functions

作　　者：刘彩平[1,2] 

机构地区：[1]齐齐哈尔大学数学系 [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》2007年第4期85-92,共8页Operations Research Transactions

基　　金：国家自然科学基金(No.10471159);教育部"新世纪优秀人才支持计划"资助项目

摘　　要：文章在Banach空间中定义了一种新的广义凸函数—半严格不变凸函数.对于满足局部Lipschitz条件的半严格不变凸函数,得到了它的广义Clarke次微分性质.文中还讨论了半严格不变凸函数与不变凸函数及半严格预不变凸函数之间的关系,得到了半严格不变凸函数的一些性质.In this paper, a new class of generalized convex functions in Banach Space, termed semistrictly invex functions, is introduced. Under the condition of locally Lipschitz, the characterizations of semistrictly invex functions corresponding Clarke＇s subdif-ferential are given. The relationships are investigated between semistrictly invex functions and invex functions the relationship, between semistrictly invex functions and semistrictly preinvex functions are also discussed. Some properties of semistrictly invex functions are obtained.

关 键 词：运筹学 不变凸函数 半严格不变凸函数 半严格预不变凸函数 

分 类 号：O177.91[理学—数学] O211.63[理学—基础数学]