集值形式的Ekeland变分原理  

The Variation Principle in Set Occurrence

作　　者：庞伟[1] 冯瑜[1] 

机构地区：[1]玉林师范学院数学与信息科学学院,广西玉林537000

出　　处：《玉林师范学院学报》2011年第2期24-28,共5页Journal of Yulin Normal University

摘　　要：通过给出集值映射的(e,C)-下半连续和C-下有界定义,利用Gerstewitz泛函,将一般集值映射与实集值函数联系起来,获得了关于(e,C)-下半连续C-下有界集值映射的Ekeland变分原理.这个变分原理是现有许多形式的Ekeland变分原理的推广.This paper is first to put forward the lower semi-continuous value and lower bounded definition of set-valued mapping and then comes to a Ekeland variation principle on（e,C）-lower semi-continuous C-lower bounded set-valued mapping by combining the general set-valued mapping together with the real set-valued function while applying Gerstewitz functional.This principle is the expansion of the current Ekeland principles.

关 键 词：(e C)-半连续性 Gerstewitz泛函 集值Ekeland变分原理 

分 类 号：O174[理学—数学]