Epigraphical Characterization of Uniformly Lower Regular Functions in Hilbert Spaces

被引：0

作者：

Konstantinov, Matey ^{[1
]}

Zlateva, Nadia ^{[1
]}

机构：

[1] Sofia Univ, Fac Math & Informat, Sofia, Bulgaria

来源：

JOURNAL OF CONVEX ANALYSIS | 2023年 / 30卷 / 04期

关键词：

Prox-regular set; uniformly prox-regular set; primal lower nice function; proximal normal; distance function; metric projection mapping; Hilbert space; LOWER NICE FUNCTIONS; WEAK CONVEXITY; PROX-REGULARITY; BANACH-SPACES; SETS; INTEGRATION; SUBDIFFERENTIALS; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a characterization of uniformly lower regular functions defined on a Hilbert space. To this end we introduce and study a property we call epi prox-regularity of an epigraph set which slightly differs from the well-known prox-regularity property of a set.

引用

页码：1139 / 1153

页数：15

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