广义极大元的通有稳定性  

Generic Stability on Generalized Maximal Elements

作　　者：杨光惠[1] 向淑文[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《广西师范大学学报（自然科学版）》2013年第1期54-56,共3页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11161008);贵州大学青年教师基金资助项目(2012002)

摘　　要：本文运用广义极大元与广义最大元之间的对偶关系,由广义最大元的通有稳定性结果获得了当映射发生扰动时广义极大元的通有稳定性,即在Baire纲分类的意义下,绝大多数广义极大元都是本质的。According to the generic stability on generalized largest elements ,and based on the dual relationship between generalized maximal elements and generalized largest elements ,the generic stability on generalized maximal elements is proved with perturbation set-valued mappings. In other words,all their generalized maximal elements for most set-valued mappings are essential in the sense of Baire category.

关 键 词：广义极大元 广义最大元 对偶关系 通有稳定性 

分 类 号：O177.91[理学—数学]