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
收藏
页码：1139 / 1153
页数：15
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