THE ATTAINMENT SET OF THE phi-ENVELOPE AND GENERICITY PROPERTIES
Affiliation auteurs | !!!! Error affiliation !!!! |
Titre | THE ATTAINMENT SET OF THE phi-ENVELOPE AND GENERICITY PROPERTIES |
Type de publication | Journal Article |
Year of Publication | 2019 |
Auteurs | Cabot A., Jourani A., Thibault L., Zagrodny D. |
Journal | MATHEMATICA SCANDINAVICA |
Volume | 124 |
Pagination | 203-246 |
Type of Article | Article |
ISSN | 0025-5521 |
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. |
DOI | 10.7146/math.scand.a-110766 |