| bibtype |
J -
Journal Article
|
| ARLID |
0574144 |
| utime |
20240402214231.5 |
| mtime |
20230808235959.9 |
| SCOPUS |
85178353360 |
| WOS |
001115506800011 |
| title
(primary) (eng) |
On the Isolated Calmness Property of Implicitly Defined Multifunctions |
| specification |
| page_count |
23 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257905 |
| ISSN |
0944-6532 |
| title
|
Journal of Convex Analysis |
| volume_id |
30 |
| volume |
3 (2023) |
| page_num |
1001-1023 |
| publisher |
|
|
| keyword |
Strong metric subregularity and isolated calmness on a neighborhood |
| keyword |
generalized derivatives |
| keyword |
semismoothness* |
| keyword |
implicit multifunctions |
| author
(primary) |
| ARLID |
cav_un_auth*0319636 |
| name1 |
Gfrerer |
| name2 |
H. |
| country |
AT |
|
| 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 |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
The paper deals with an extension of the available theory of SCD (subspace containing derivatives) mappings to mappings between spaces of different dimensions. This extension enables us to derive workable sufficient conditions for the isolated calmness of implicitly defined multifunctions around given reference points. This stability property differs substantially from isolated calmness at a point and, possibly in conjunction with the Aubin property, offers a new useful stability concept. The application area includes a broad class of parameterized generalized equations, where the respective conditions ensure a rather strong type of Lipschitzian behavior of their solution maps. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2024 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0344486 |
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICS |
| mrcbT16-j |
0.367 |
| mrcbT16-s |
0.43 |
| mrcbT16-D |
Q4 |
| mrcbT16-E |
Q3 |
| arlyear |
2023 |
| mrcbU14 |
85178353360 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001115506800011 WOS |
| mrcbU63 |
cav_un_epca*0257905 Journal of Convex Analysis Roč. 30 č. 3 2023 1001 1023 0944-6532 0944-6532 Heldermann Verlag |
|