bibtype J - Journal Article
ARLID 0509759
utime 20240103222731.9
mtime 20191022235959.9
SCOPUS 85071295281
WOS 000484384600001
DOI 10.1080/02331934.2019.1657427
title (primary) (eng) On the Aubin property of solution maps to parameterized variational systems with implicit constraints
specification
page_count 21 s.
media_type P
serial
ARLID cav_un_epca*0258218
ISSN 0233-1934
title Optimization
volume_id 69
page_num 1681-1701
publisher
name Taylor & Francis
keyword solution map
keyword parameterized variational system
keyword Aubin property
keyword directional limiting coderivative
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
url http://library.utia.cas.cz/separaty/2019/MTR/outrata-0509759.pdf
source
url https://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427
cas_special
project
project_id GA17-04301S
agency GA ČR
ARLID cav_un_auth*0347023
abstract (eng) In the paper, a new sufficient condition for the Aubin property to a class of parameterized variational systems is derived. In these systems, the constraints depend both on the parameter as well as on the decision variable itself and they include, e.g. parameter-dependent quasi-variational inequalities and implicit complementarity problems. The result is based on a general condition ensuring the Aubin property of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative. Our final condition can be verified, however, without an explicit computation of these coderivatives. The procedure is illustrated by an example.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2021
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0300390
confidential S
mrcbC91 A
mrcbT16-e MATHEMATICSAPPLIED|OPERATIONSRESEARCHMANAGEMENTSCIENCE
mrcbT16-i 0.96167
mrcbT16-j 0.707
mrcbT16-s 0.906
mrcbT16-B 42.118
mrcbT16-D Q3
mrcbT16-E Q2
arlyear 2020
mrcbU14 85071295281 SCOPUS
mrcbU24 PUBMED
mrcbU34 000484384600001 WOS
mrcbU63 cav_un_epca*0258218 Optimization 0233-1934 1029-4945 Roč. 69 7-8 2020 1681 1701 Taylor & Francis