E凸函数的次微分  

Subdifferentials of E-convex functions

作　　者：李成林[1] 孔维丽[1] 黄辉[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2006年第5期369-373,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10561008);云南省教育厅科研基金资助项目(02ZD023)

摘　　要：在E凸集上,引进了E凸函数,定义了广义实值函数的E次微分,得到了E凸函数次微分的特征定理;利用特征定理,得到E凸函数次微分的性质.Using definition of E-subdifferentials and E-convex functions, it is obtained that characteristic theorem of E-subdifferentials of E-convex functions and applying this theorem it is obtained that some properties of E-subdiferentials of E-convex functions which are verified.

关 键 词：E凸集 E凸函数 集值映射 E凸函数次微分 循环单调 

分 类 号：O174[理学—数学]