A Partial Answer to the Demyanov-Ryabova Conjecture

dc.creator	Daniilidis, Aris
dc.creator	Petitjean, Colin
dc.date.accessioned	2019-05-31T15:19:12Z
dc.date.available	2019-05-31T15:19:12Z
dc.date.created	2019-05-31T15:19:12Z
dc.date.issued	2018
dc.identifier	Set-Valued and Variational Analysis, Volumen 26, Issue 1, 2018, Pages 143-157
dc.identifier	18770541
dc.identifier	09276947
dc.identifier	10.1007/s11228-017-0439-2
dc.identifier	https://repositorio.uchile.cl/handle/2250/169349
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”.
dc.language	en
dc.publisher	Springer Netherlands
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile
dc.source	Set-Valued and Variational Analysis
dc.subject	Exhauster
dc.subject	Extreme point
dc.subject	Polytope
dc.subject	Subdifferential
dc.subject	Sublinear function
dc.title	A Partial Answer to the Demyanov-Ryabova Conjecture
dc.type	Artículo de revista