| bibtype |
J -
Journal Article
|
| ARLID |
0517219 |
| utime |
20250310145847.5 |
| mtime |
20191203235959.9 |
| SCOPUS |
85075389144 |
| WOS |
000554706900002 |
| DOI |
10.1007/s11228-019-00523-2 |
| title
(primary) (eng) |
The Radius of Metric Subregularity |
| specification |
| page_count |
23 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0343967 |
| ISSN |
1877-0533 |
| title
|
Set-Valued and Variational Analysis |
| volume_id |
28 |
| volume |
3 (2020) |
| page_num |
451-473 |
| publisher |
|
|
| keyword |
Well-posedness |
| keyword |
Metric subregularity |
| keyword |
Generalized differentiation |
| author
(primary) |
| ARLID |
cav_un_auth*0383975 |
| name1 |
Dontchev |
| name2 |
A. L. |
| country |
US |
|
| author
|
| ARLID |
cav_un_auth*0319636 |
| name1 |
Gfrerer |
| name2 |
H. |
| country |
AT |
|
| author
|
| ARLID |
cav_un_auth*0262191 |
| name1 |
Kruger |
| name2 |
A.Y. |
| country |
AU |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA17-04301S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0347023 |
|
| project |
| project_id |
GA17-08182S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0348851 |
|
| abstract
(eng) |
There is a basic paradigm, called here the radius of well-posedness, which quantifies the “distance” from a given well-posed problem to the set of ill-posed problems of the same kind. In variational analysis, well-posedness is often understood as a regularity property, which is usually employed to measure the effect of perturbations and approximations of a problem on its solutions. In this paper we focus on evaluating the radius of the property of metric subregularity which, in contrast to its siblings, metric regularity, strong regularity and strong subregularity, exhibits a more complicated behavior under various perturbations. We consider three kinds of perturbations: by Lipschitz continuous functions, by semismooth functions, and by smooth functions, obtaining different expressions/bounds for the radius of subregularity, which involve generalized derivatives of set-valued mappings. We also obtain different expressions when using either Frobenius or Euclidean norm to measure the radius. As an application, we evaluate the radius of subregularity of a general constraint system. Examples illustrate the theoretical findings. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2021 |
| num_of_auth |
4 |
| mrcbC52 |
2 R hod 4 4rh 4 20250310144322.9 4 20250310145847.5 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0302501 |
| confidential |
S |
| mrcbC86 |
1 Article Mathematics Applied |
| mrcbC91 |
A |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-i |
0.49896 |
| mrcbT16-j |
1.124 |
| mrcbT16-s |
1.151 |
| mrcbT16-B |
82.369 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2020 |
| mrcbTft |
\nSoubory v repozitáři: outrata-517219.pdf |
| mrcbU14 |
85075389144 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000554706900002 WOS |
| mrcbU63 |
cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 28 č. 3 2020 451 473 Springer |
|