局部凸空间中的Drop定理，Phelps引理和Ekeland变分原理的推广(英文)  

Generalizations of Drop Theorem,Phelps' Lemma and Ekeland's Principle in Locally Convex Spaces

作　　者：贺飞[1] 刘德[1] 罗成[1] 

机构地区：[1]内蒙古大学理工学院数学系,呼和浩特内蒙古010021

出　　处：《数学进展》2007年第5期593-598,共6页Advances in Mathematics（China）

基　　金：This work is supported by Foundation of Department of Education of Zhejiang Province

摘　　要：在局部凸空间框架下,我们利用Drop定理,Phelps引理和Ekeland变分原理的赋范线性空间的形式对其分别进行了推广.并且阐述了这些定理之间以及和它们赋范线性空间的形式之间是等价的.In locally convex spaces, we extend drop theorem, Phelps＇ lemma and Ekeland＇s principle by using their own normed linear spaces versions. Moreover we show that these theorems are equivalent to each other and to their normed linear spaces counterparts.

关 键 词：局部凸空间 DROP定理 Phelps引理 EKELAND变分原理 

分 类 号：O177.3[理学—数学]