| bibtype |
J -
Journal Article
|
| ARLID |
0393907 |
| utime |
20240903170626.6 |
| mtime |
20130730235959.9 |
| WOS |
000322858500006 |
| title
(primary) (eng) |
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification |
| specification |
| page_count |
19 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0297163 |
| ISSN |
0023-5954 |
| title
|
Kybernetika |
| volume_id |
49 |
| volume |
3 (2013) |
| page_num |
446-464 |
| publisher |
| name |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
|
| keyword |
variational analysis |
| keyword |
second-order theory |
| keyword |
generalized differentiation |
| keyword |
tilt stability |
| author
(primary) |
| ARLID |
cav_un_auth*0051326 |
| name1 |
Mordukhovich |
| name2 |
B. S. |
| country |
US |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP201/12/0671 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0289475 |
|
| abstract
(eng) |
The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian–Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving further the well-known Constant Rank Constraint Qualification, we derive new necessary and sufficient conditions for tilt-stable local minimizers. |
| reportyear |
2014 |
| RIV |
BA |
| num_of_auth |
2 |
| mrcbC52 |
4 O 4o 20231122135657.8 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0222590 |
| mrcbT16-e |
COMPUTERSCIENCECYBERNETICS |
| mrcbT16-f |
0.577 |
| mrcbT16-g |
0.098 |
| mrcbT16-h |
9.IV |
| mrcbT16-i |
0.00191 |
| mrcbT16-j |
0.341 |
| mrcbT16-k |
655 |
| mrcbT16-l |
61 |
| mrcbT16-s |
0.348 |
| mrcbT16-z |
ScienceCitationIndexExpanded |
| mrcbT16-4 |
Q2 |
| mrcbT16-B |
35.159 |
| mrcbT16-C |
31.250 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q3 |
| arlyear |
2013 |
| mrcbTft |
\nSoubory v repozitáři: 0393907.pdf |
| mrcbU34 |
000322858500006 WOS |
| mrcbU63 |
cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 49 č. 3 2013 446 464 Ústav teorie informace a automatizace AV ČR, v. v. i. |
|