A Partial Answer to the Demyanov-Ryabova Conjecture
| Author | dc.contributor.author | Daniilidis, Aris | |
| Author | dc.contributor.author | Petitjean, Colin | |
| Admission date | dc.date.accessioned | 2019-05-31T15:19:12Z | |
| Available date | dc.date.available | 2019-05-31T15:19:12Z | |
| Publication date | dc.date.issued | 2018 | |
| Cita de ítem | dc.identifier.citation | Set-Valued and Variational Analysis, Volumen 26, Issue 1, 2018, Pages 143-157 | |
| Identifier | dc.identifier.issn | 18770541 | |
| Identifier | dc.identifier.issn | 09276947 | |
| Identifier | dc.identifier.other | 10.1007/s11228-017-0439-2 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/169349 | |
| Abstract | dc.description.abstract | 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”. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | Springer Netherlands | |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| Source | dc.source | Set-Valued and Variational Analysis | |
| Keywords | dc.subject | Exhauster | |
| Keywords | dc.subject | Extreme point | |
| Keywords | dc.subject | Polytope | |
| Keywords | dc.subject | Subdifferential | |
| Keywords | dc.subject | Sublinear function | |
| Título | dc.title | A Partial Answer to the Demyanov-Ryabova Conjecture | |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | jmm | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile