<div class="csl-bib-body">
<div class="csl-entry">Jork, N. A., Osmolovskii, N., & Veliov, V. (2025). Strong Metric (Sub)Regularity in Optimal Control. <i>Journal of Convex Analysis</i>, <i>32</i>(2), 375–398.</div>
</div>
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dc.identifier.issn
0944-6532
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/221311
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dc.description.abstract
This is mainly a survey on the properties of Strong Metric Regularity (SMR) and Strong Metric subRegularity (SMsR) of mappings representing first order optimality conditions (so-called optimality mappings) of optimization problems in infinite dimensional spaces. The focus is on the optimality mappings associated with optimal control problems for ODE systems or PDEs. We especially emphasize an extension of the concepts of SMR and SMsR which involves two metrics either in the domain or in the image spaces. The paper shows the relevance of this extension in optimal control.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
HELDERMANN VERLAG
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dc.relation.ispartof
Journal of Convex Analysis
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dc.subject
Variational Analysis
en
dc.subject
Metric regularity
en
dc.subject
Optimization
en
dc.subject
Optimal Control
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dc.title
Strong Metric (Sub)Regularity in Optimal Control
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
University of Tübingen, Germany
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dc.contributor.affiliation
Polish Academy of Sciences, Poland
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dc.description.startpage
375
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dc.description.endpage
398
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dc.relation.grantno
I 4571-N
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dc.type.category
Original Research Article
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tuw.container.volume
32
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tuw.container.issue
2
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
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tuw.project.title
Regularität von Abbildungen - Theorie und Anwendungen
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Journal of Convex Analysis
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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dc.identifier.eissn
0944-6532
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dc.description.numberOfPages
24
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tuw.author.orcid
0000-0003-2439-852X
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wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.cerifentitytype
Publications
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item.openairetype
research article
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item.fulltext
no Fulltext
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item.languageiso639-1
en
-
item.grantfulltext
none
-
crisitem.author.dept
University of Tübingen
-
crisitem.author.dept
Polish Academy of Sciences
-
crisitem.author.dept
E105 - Institut für Stochastik und Wirtschaftsmathematik