<div class="csl-bib-body">
<div class="csl-entry">Tapia Garcia, S. (2024, January 17). <i>A Slope Generalization of Attouch Theorem</i> [Conference Presentation]. 32rd International Conference on Variational Analysis and Optimization, Santiago, Chile.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/202012
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dc.description.abstract
A classical result of variational analysis, known as Attouch theorem, establishes an equivalence between epigraphical convergence of a sequence of proper convex lower semicontinuous functions and graphical convergence of the corresponding subdifferential maps up to a normalization condition which fixes the integration constant. In this work, we show that in finite dimensions and under a mild boundedness assumption, we can replace subdifferentials (sets of vectors) by slopes (scalars, corresponding to the distance of the subdifferentials to zero) and still obtain the same characterization: namely, the epigraphical convergence of functions is equivalent to the epigraphical convergence of their slopes.
en
dc.language.iso
en
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dc.subject
Attouch theorem
en
dc.subject
Convex function
en
dc.subject
slope
en
dc.subject
epi-convergence
en
dc.subject
sensitivity analysis
en
dc.title
A Slope Generalization of Attouch Theorem
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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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.event.name
32rd International Conference on Variational Analysis and Optimization
en
tuw.event.startdate
16-01-2024
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tuw.event.enddate
18-01-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Santiago
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tuw.event.country
CL
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tuw.event.institution
Center for Mathematical Modeling, Universidad de Chile, Chile Universidad de O’Higgins, Rancagua, Chile
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tuw.event.presenter
Tapia Garcia, Sebastian
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dc.relation.ispreviousversionof
https://doi.org/10.1007/s10107-024-02108-w
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tuw.event.track
Single Track
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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.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
