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.
出处
《广西师范大学学报(自然科学版)》
CAS
北大核心
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)
关键词
广义极大元
广义最大元
对偶关系
通有稳定性
generalized maximal elements
generalized largest elements
duality
generic stability