On the Regularization of the Supremum Function in the Bidual Space.
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| Title: | On the Regularization of the Supremum Function in the Bidual Space. |
|---|---|
| Authors: | Correa, Rafael1 (AUTHOR) rcorrea@dim.uchile.cl, Hantoute, Abderrahim2 (AUTHOR) hantoute@ua.es, López, Marco A.2 (AUTHOR) marco.antonio@ua.es |
| Source: | Journal of Optimization Theory & Applications. Feb2026, Vol. 208 Issue 2, p1-23. 23p. |
| Subjects: | Mathematical regularization, Subdifferentials, Mathematical functions, Duality theory (Mathematics), Banach spaces, Convex programming |
| Abstract: | Conditions allowing the interchange between the supremum and biconjugation in the bidual space are provided. We establish alternative characterizations which involve both approximate and exact subdifferential calculus rules for the supremum. The so-called concave-like setting, which covers the particular case of finite families, gives rise to simpler criteria. We give an application to the regularization problem in convex optimization. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 190467237 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the Regularization of the Supremum Function in the Bidual Space. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Correa%2C+Rafael%22">Correa, Rafael</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rcorrea@dim.uchile.cl</i><br /><searchLink fieldCode="AR" term="%22Hantoute%2C+Abderrahim%22">Hantoute, Abderrahim</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> hantoute@ua.es</i><br /><searchLink fieldCode="AR" term="%22López%2C+Marco+A%2E%22">López, Marco A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> marco.antonio@ua.es</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Optimization+Theory+%26+Applications%22">Journal of Optimization Theory & Applications</searchLink>. Feb2026, Vol. 208 Issue 2, p1-23. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+regularization%22">Mathematical regularization</searchLink><br /><searchLink fieldCode="DE" term="%22Subdifferentials%22">Subdifferentials</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Duality+theory+%28Mathematics%29%22">Duality theory (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+spaces%22">Banach spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+programming%22">Convex programming</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Conditions allowing the interchange between the supremum and biconjugation in the bidual space are provided. We establish alternative characterizations which involve both approximate and exact subdifferential calculus rules for the supremum. The so-called concave-like setting, which covers the particular case of finite families, gives rise to simpler criteria. We give an application to the regularization problem in convex optimization. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10957-025-02886-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 1 Subjects: – SubjectFull: Mathematical regularization Type: general – SubjectFull: Subdifferentials Type: general – SubjectFull: Mathematical functions Type: general – SubjectFull: Duality theory (Mathematics) Type: general – SubjectFull: Banach spaces Type: general – SubjectFull: Convex programming Type: general Titles: – TitleFull: On the Regularization of the Supremum Function in the Bidual Space. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Correa, Rafael – PersonEntity: Name: NameFull: Hantoute, Abderrahim – PersonEntity: Name: NameFull: López, Marco A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00223239 Numbering: – Type: volume Value: 208 – Type: issue Value: 2 Titles: – TitleFull: Journal of Optimization Theory & Applications Type: main |
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