A Partial Answer to the Demyanov-Ryabova Conjecture
| Affiliation auteurs | Affiliation ok |
| Titre | A Partial Answer to the Demyanov-Ryabova Conjecture |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Daniilidis A, Petitjean C |
| Journal | SET-VALUED AND VARIATIONAL ANALYSIS |
| Volume | 26 |
| Pagination | 143-157 |
| Date Published | MAR |
| Type of Article | Article |
| ISSN | 1877-0533 |
| Mots-clés | Exhauster, Extreme point, Polytope, Subdifferential, Sublinear function |
| Résumé | In this work we are interested in the Demyanov-Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle eventually comes up. In this work we establish a strong version of this conjecture under the assumption that the initial family contains ``enough minimal polytopes'' whose extreme points are ``well placed''. |
| DOI | 10.1007/s11228-017-0439-2 |