THE ATTAINMENT SET OF THE phi-ENVELOPE AND GENERICITY PROPERTIES

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TitreTHE ATTAINMENT SET OF THE phi-ENVELOPE AND GENERICITY PROPERTIES
Type de publicationJournal Article
Year of Publication2019
AuteursCabot A., Jourani A., Thibault L., Zagrodny D.
JournalMATHEMATICA SCANDINAVICA
Volume124
Pagination203-246
Type of ArticleArticle
ISSN0025-5521
Résumé

The attainment set of the phi-envelope of a function at a given point is investigated. The inclusion of the attainment set of the phi-envelope of the closed convex hull of a function into the attainment set of the function is preserved in sufficiently general settings to encompass the case phi being a norm in a power not less than 1. The non-emptiness of the attainment set is guaranteed on generic subsets of a given space, in several fundamental cases.

DOI10.7146/math.scand.a-110766