| bibtype |
J -
Journal Article
|
| ARLID |
0547132 |
| utime |
20230418204323.3 |
| mtime |
20211025235959.9 |
| SCOPUS |
85099045690 |
| WOS |
000605112400001 |
| DOI |
10.1007/s11228-020-00569-7 |
| title
(primary) (eng) |
Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs |
| specification |
| page_count |
35 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0343967 |
| ISSN |
1877-0533 |
| title
|
Set-Valued and Variational Analysis |
| volume_id |
30 |
| volume |
1 (2022) |
| page_num |
143-177 |
| publisher |
|
|
| keyword |
Metric subregularity |
| keyword |
Error bound property |
| keyword |
Pseudo-/quasi-normality |
| keyword |
MPCC |
| keyword |
MPVC |
| keyword |
Disjunctive programs |
| keyword |
Ortho-disjunctive programs |
| author
(primary) |
| ARLID |
cav_un_auth*0415894 |
| name1 |
Benko |
| name2 |
M. |
| country |
AT |
| share |
34% |
|
| author
|
| ARLID |
cav_un_auth*0220207 |
| name1 |
Červinka |
| name2 |
Michal |
| 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 |
| share |
33% |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0415895 |
| name1 |
Hoheisel |
| name2 |
T. |
| country |
CA |
| share |
33% |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA18-04145S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0373104 |
|
| abstract
(eng) |
This paper is devoted to the study of the metric subregularity constraint qualification for general optimization problems, with the emphasis on the nonconvex setting. We elaborate\non notions of directional pseudo- and quasi-normality, recently introduced by Bai et al., which combine the standard approach via pseudo- and quasi-normality with modern tools of directional variational analysis. We focus on applications to disjunctive programs, where (directional) pseudo-normality is characterized via an extremal condition. This, in turn, yields efficient tools to verify pseudo-normality and the metric subregularity constraint qualification, which include, but are not limited to, Robinson’s result on polyhedral multifunctions and Gfrerer’s second-order sufficient condition for metric subregularity. Finally, we refine our study by defining the new class of ortho-disjunctive programs which comprises prominent optimization problems such as mathematical programs with complementarity, vanishing or switching constraints. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2023 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0324444 |
| cooperation |
| ARLID |
cav_un_auth*0415897 |
| name |
Institute of Computational Mathematics, Johannes Kepler University Linz, A-4040 Linz, Austria |
| country |
AT |
|
| cooperation |
| ARLID |
cav_un_auth*0415898 |
| name |
Faculty of Mathematics, University of Vienna, 1090 Vienna, Austria |
| country |
AT |
|
| cooperation |
| ARLID |
cav_un_auth*0340904 |
| name |
Fakulta socialnich ved UK |
| institution |
FSV UK |
|
| cooperation |
| ARLID |
cav_un_auth*0415899 |
| name |
Institute of Mathematics and Statistics, McGill University, 805 Sherbrooke St West, Room 1114 Montr´eal, Qu´ebec, H3A 0B9, Canada |
| country |
CA |
|
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
0.937 |
| mrcbT16-s |
0.86 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q2 |
| arlyear |
2022 |
| mrcbU14 |
85099045690 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000605112400001 WOS |
| mrcbU63 |
cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 30 č. 1 2022 143 177 Springer |
|