| bibtype |
J -
Journal Article
|
| ARLID |
0392735 |
| utime |
20240103202610.0 |
| mtime |
20130613235959.9 |
| WOS |
000326705900009 |
| DOI |
10.1007/s10957-012-0147-x |
| title
(primary) (eng) |
Some Remarks on Stability of Generalized Equations |
| specification |
| page_count |
19 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257061 |
| ISSN |
0022-3239 |
| title
|
Journal of Optimization Theory and Applications |
| volume_id |
159 |
| volume |
3 (2013) |
| page_num |
681-697 |
| publisher |
|
|
| keyword |
Parameterized generalized equation |
| keyword |
Regular and limiting coderivative |
| keyword |
Constant rank CQ |
| keyword |
Mathematical program with equilibrium constraints |
| author
(primary) |
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0015558 |
| name1 |
Henrion |
| name2 |
R. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0262191 |
| name1 |
Kruger |
| name2 |
A.Y. |
| country |
AU |
|
| source |
|
| cas_special |
| project |
| project_id |
IAA100750802 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0241214 |
|
| project |
| project_id |
GAP201/12/0671 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0289475 |
|
| abstract
(eng) |
The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. |
| reportyear |
2014 |
| RIV |
BA |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0221806 |
| mrcbT16-e |
MATHEMATICSAPPLIED|OPERATIONSRESEARCHMANAGEMENTSCIENCE |
| mrcbT16-f |
1.396 |
| mrcbT16-g |
0.402 |
| mrcbT16-h |
>10.0 |
| mrcbT16-i |
0.00902 |
| mrcbT16-j |
0.685 |
| mrcbT16-k |
4629 |
| mrcbT16-l |
199 |
| mrcbT16-s |
0.928 |
| mrcbT16-z |
ScienceCitationIndex |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
58.276 |
| mrcbT16-C |
74.762 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2013 |
| mrcbU34 |
000326705900009 WOS |
| mrcbU63 |
cav_un_epca*0257061 Journal of Optimization Theory and Applications 0022-3239 1573-2878 Roč. 159 č. 3 2013 681 697 Springer |
|