局部凸空间中的Drop定理和Phelps引理以及Ekeland变分原理  

Drop Theorem and Phelps' Lemma and Ekeland's Principle in Locally Complete Locally Convex Hausdorff 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,呼和浩待010021

出　　处：《数学学报（中文版）》2006年第5期1145-1152,共8页Acta Mathematica Sinica：Chinese Series

基　　金：内蒙古自治区自然科学基金资助项目(200308020101)

摘　　要：本文将Drop定理,Phelps引理,Ekeland变分原理和基于Isac的Pareto有效性定理推广到局部完备的局部凸Hausdorff空间,而且证明了它们彼此是等价的．In this paper, Drop theorem, Phelps＇ lemma, Ekeland＇s principle and Pareto efficiency theorem due to Isac are generalized to locally complete locally convex Hausdorff spaces. And the equivalence of these theorems is proved.

关 键 词：DROP定理 Phelps引理 EKELAND变分原理 

分 类 号：O177.3[理学—数学]