广义极大元的通有稳定性

Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (1): 54-56.

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Generic Stability on Generalized Maximal Elements

YANG Guang-hui, XIANG Shu-wen

College of Science,Guizhou University,Guiyang Guizhou 550025,China

Received:2012-10-16 Online:2013-03-20 Published:2018-11-26

Abstract

Abstract: 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 ofBaire category.

Key words: generalized maximal elements, generalized largest elements, duality, generic stability

CLC Number:

O177.91

YANG Guang-hui, XIANG Shu-wen. Generic Stability on Generalized Maximal Elements[J].Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(1): 54-56.

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