bibtype |
J -
Journal Article
|
ARLID |
0392856 |
utime |
20240103202618.5 |
mtime |
20130606235959.9 |
WOS |
000246185600003 |
DOI |
10.1007/s11228-006-0033-5 |
title
(primary) (eng) |
Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints |
specification |
page_count |
24 s. |
media_type |
P |
|
serial |
ARLID |
cav_un_epca*0255065 |
ISSN |
0927-6947 |
title
|
Set-Valued Analysis |
volume_id |
15 |
volume |
2 (2007) |
page_num |
139-162 |
|
keyword |
disjunctive programs |
keyword |
mathematical programs with equilibrium |
keyword |
Guignard constraint qualification |
author
(primary) |
ARLID |
cav_un_auth*0015567 |
name1 |
Flegel |
name2 |
M. L. |
country |
DE |
|
author
|
ARLID |
cav_un_auth*0021120 |
name1 |
Kanzow |
name2 |
Ch. |
country |
DE |
|
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 |
IAA1075402 |
agency |
GA AV ČR |
ARLID |
cav_un_auth*0012788 |
|
research |
CEZ:AV0Z10750506 |
abstract
(eng) |
We consider optimization problems with a disjunctive structure of the feasible set. Using Guignard-type constraint qualifications for these optimization problems and exploiting some results for the limiting normal cone by Mordukhovich, we derive different optimality conditions. Furthermore, we specialize these results to mathematical programs with equilibrium constraints. In particular, we show that a new constraint qualification, weaker than any other constraint qualification used in the literature, is enough in order to show that a local minimum results in a so-called M-stationary point. Additional assumptions are also discussed which guarantee that such an M-stationary point is in fact a strongly stationary point. |
reportyear |
2014 |
RIV |
BA |
permalink |
http://hdl.handle.net/11104/0221626 |
mrcbT16-f |
0.929 |
mrcbT16-g |
0.045 |
mrcbT16-h |
9.3 |
mrcbT16-i |
0.00191 |
mrcbT16-j |
0.831 |
mrcbT16-k |
342 |
mrcbT16-l |
22 |
arlyear |
2007 |
mrcbU34 |
000246185600003 WOS |
mrcbU63 |
cav_un_epca*0255065 Set-Valued Analysis 0927-6947 Roč. 15 č. 2 2007 139 162 |
|