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

共 50 条

[1] Prox-regular functions in Hilbert spaces
Bernard, F
Thibault, L
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 303 (01) : 1 - 14
[2] Regular functions of operators on tensor products of Hilbert spaces
Gil, MI
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (03) : 317 - 331
[3] Regular Functions of Operators on Tensor Products of Hilbert Spaces
M. I. Gil’
Integral Equations and Operator Theory, 2006, 54 : 317 - 331
[4] Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces
Lopez-Acedo, Genaro
Suzuki, Tomonari
FIXED POINT THEORY AND APPLICATIONS, 2010,
[5] Browder's Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces
Genaro López Acedo
Tomonari Suzuki
Fixed Point Theory and Applications, 2010
[6] Local integration of prox-regular functions in Hilbert spaces
Boralugoda, S
Poliquin, RA
JOURNAL OF CONVEX ANALYSIS, 2006, 13 (01) : 27 - 36
[7] Integration of primal lower nice functions in Hilbert spaces
Bernard, F
Thibault, L
Zagrodny, D
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 124 (03) : 561 - 579
[8] On Minimax Theorems for Lower Semicontinuous Functions in Hilbert Spaces
Bednarczuk, Ewa M.
Syga, Monika
JOURNAL OF CONVEX ANALYSIS, 2018, 25 (02) : 389 - 402
[9] Integration of Primal Lower Nice Functions in Hilbert Spaces
F. Bernard
L. Thibault
D. Zagrodny
Journal of Optimization Theory and Applications, 2005, 124 : 561 - 579
[10] UNIFORMLY REGULAR TOPOLOGICAL MEASURE SPACES
BABIKER, AGAG
DUKE MATHEMATICAL JOURNAL, 1976, 43 (04) : 775 - 789

← 1 2 3 4 5 →