Compactness properties, openness criteria and coderivatives

作     者：Penot, JP 

作者机构：Univ Pau & Pays Adour CNRS URA 1204 Fac Sci F-64000 Pau France 

出 版 物：《SET-VALUED ANALYSIS》 (集值分析)

年 卷 期：1998年第6卷第4期

页      面：363-380页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：coderivative coderivatively compact compactness injectivity normal compactness openness nonsmooth analysis subdifferential 

摘      要：We study the local surjectivity and openness properties of mappings and correspondences by using coderivatives. We recall local criteria but concentrate on point criteria. Our study relies on a compactness condition which is of independent interest, for instance, for the study of the behavior of the injectivity constant of a linear map or of a convex process under stabilization procedures. Several known criteria for openness are shown to be a consequences of this new compactness condition. Mathematics Subject Classifications (1991): 26B05, 26B10, 26B25, 46G05, 49J52, 58C20.