<div class="csl-bib-body">
<div class="csl-entry">Battistoni, F., Daniilidis, A., De Bernardi, C. A., & Miglierina, E. (2025). <i>Characterization of regularity via variational stability of alternating projections sequences</i>. arXiv. https://doi.org/10.48550/arXiv.2511.07953</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/222294
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dc.description.abstract
The notion of regular pair (A,B) for two non empty closed convex subsets A and B of a Hilbertspace H was introduced by Borwein and Bauschke in 1993 to ensure convergence (innorm) of the alternating projection method to some point of the best approximation set. In 2022, De Bernardi and Miglierina showed that regularity of the pair (A,B) guarantees, additionally, the convergence for any variational perturbation of the alternating projection method, provided the corresponding best approximation sets are bounded. The aim of this paper is to show that the converse assertion is also true.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Alternating projection method
en
dc.subject
Convex feasibility problem
en
dc.subject
d-stability
en
dc.subject
Regularity
en
dc.subject
Attouch-Wets convergence
en
dc.title
Characterization of regularity via variational stability of alternating projections sequences
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2511.07953
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dc.contributor.affiliation
Dipartimento di Matematica per le Scienze Economiche, Finanziarie ed Atturiali - Università Cattolica del Sacro Cuore (Milan, IT)
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dc.contributor.affiliation
Università Cattolica del Sacro Cuore, Italy
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dc.contributor.affiliation
Dipartimento di Matematica per le Scienze Economiche, Finanziarie ed Attuariali - Università Cattolica del Sacro Cuore (Milan, IT)
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dc.relation.grantno
P 36344N
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tuw.project.title
Unilateralität und Asymmetrie in der Variationsanalyse
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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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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.48550/arXiv.2511.07953
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dc.description.numberOfPages
15
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tuw.author.orcid
0000-0003-2119-1881
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tuw.author.orcid
0000-0003-4837-694X
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tuw.author.orcid
0000-0002-9654-1324
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tuw.author.orcid
0000-0003-3493-8198
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dc.description.sponsorshipexternal
INdAM GNAMPA
-
dc.description.sponsorshipexternal
INdAM GNAMPA
-
dc.description.sponsorshipexternal
MICINN
-
dc.relation.grantnoexternal
Professore Visitatore
-
dc.relation.grantnoexternal
CUP E53C23001670001
-
dc.relation.grantnoexternal
PID2020-112491GB-I00
-
tuw.publisher.server
arXiv
-
dc.relation.ispreviousversionof
https://doi.org/10.48550/arXiv.2511.07953
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wb.sciencebranch
Mathematik
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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_816b
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item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.grantfulltext
restricted
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item.openairetype
preprint
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item.languageiso639-1
en
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crisitem.author.dept
Dipartimento di Matematica per le Scienze Economiche, Finanziarie ed Atturiali - Università Cattolica del Sacro Cuore (Milan, IT)
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
crisitem.author.dept
Università Cattolica del Sacro Cuore, Italy
-
crisitem.author.dept
Dipartimento di Matematica per le Scienze Economiche, Finanziarie ed Attuariali - Università Cattolica del Sacro Cuore (Milan, IT)
-
crisitem.author.orcid
0000-0003-2119-1881
-
crisitem.author.orcid
0000-0003-4837-694X
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crisitem.author.orcid
0000-0002-9654-1324
-
crisitem.author.orcid
0000-0003-3493-8198
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
