| bibtype |
J -
Journal Article
|
| ARLID |
0641829 |
| utime |
20251120152306.5 |
| mtime |
20251120235959.9 |
| WOS |
001612050800003 |
| DOI |
10.14736/kyb-2025-5-0635 |
| title
(primary) (eng) |
A note on the uniformity of strong subregularity around the reference point |
| specification |
| page_count |
12 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0297163 |
| ISSN |
0023-5954 |
| title
|
Kybernetika |
| volume_id |
61 |
| volume |
5 (2025) |
| page_num |
635-646 |
| publisher |
| name |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
|
| keyword |
strong metric subregularity |
| keyword |
Lipschitz continuity |
| keyword |
uniformity |
| keyword |
sum stability |
| author
(primary) |
| ARLID |
cav_un_auth*0497379 |
| name1 |
Roubal |
| name2 |
Tomáš |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
This paper investigates strong metric subregularity around the reference point as introduced by H. Gfrerer and J. V. Outrata in [9]. In the setting of Banach spaces, we analyse its stability under Lipschitz continuous perturbations and establish its uniformity over compact sets. Our results ensure that the property is preserved under small Lipschitz perturbations, which is crucial for maintaining robustness in variational analysis. Furthermore, we apply the developed theory to parametric inclusion problems. The analysis demonstrates that the uniformity of strong metric subregularity provides a theoretical foundation for addressing stability issues in parametrized optimization and control applications. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2026 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0371860 |
| confidential |
S |
| mrcbC91 |
A |
| mrcbT16-e |
COMPUTERSCIENCE.CYBERNETICS |
| mrcbT16-f |
1.1 |
| mrcbT16-g |
0.1 |
| mrcbT16-h |
14.7 |
| mrcbT16-i |
0.00058 |
| mrcbT16-j |
0.288 |
| mrcbT16-k |
978 |
| mrcbT16-q |
43 |
| mrcbT16-s |
0.378 |
| mrcbT16-y |
34 |
| mrcbT16-x |
2.47 |
| mrcbT16-3 |
255 |
| mrcbT16-4 |
Q3 |
| mrcbT16-5 |
2.000 |
| mrcbT16-6 |
43 |
| mrcbT16-7 |
Q3 |
| mrcbT16-C |
40.3 |
| mrcbT16-M |
0.26 |
| mrcbT16-N |
Q4 |
| mrcbT16-P |
40.3 |
| arlyear |
2025 |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001612050800003 WOS |
| mrcbU63 |
cav_un_epca*0297163 Kybernetika Roč. 61 č. 5 2025 635 646 0023-5954 Ústav teorie informace a automatizace AV ČR, v. v. i. |
|