| Author | dc.contributor.author | Correa, Rafael | |
| Author | dc.contributor.author | Gajardo, Pedro | es_CL |
| Author | dc.contributor.author | Thibault, Lionel | es_CL |
| Admission date | dc.date.accessioned | 2010-07-13T20:20:45Z | |
| Available date | dc.date.available | 2010-07-13T20:20:45Z | |
| Publication date | dc.date.issued | 2010 | |
| Cita de ítem | dc.identifier.citation | SIAM J. OPTIM. Vol. 20, No. 4, pp. 1766–1785 | en_US |
| Identifier | dc.identifier.other | DOI. 10.1137/080738271 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125407 | |
| Abstract | dc.description.abstract | In this work we introduce for extended real valued functions, defined on a Banach
space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X.
For different types of sets K (e.g., zero, singleton, or compact), the K directionally Lipschitzian
behavior recovers well-known concepts in variational analysis (locally Lipschitzian, directionally Lipschitzian,
or compactly epi-Lipschitzian properties, respectively). Characterizations of this notion
are provided in terms of the lower Dini subderivatives. We also adapt the concept for sets and
establish characterizations of the mentioned behavior in terms of the Bouligand tangent cones. The
special case of convex functions and sets is also studied. | en_US |
| Patrocinador | dc.description.sponsorship | This research was partially supported by
FONDECYT project 1080173 and Programa Basal CMM U. de Chile. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Keywords | dc.subject | directional derivative | en_US |
| Título | dc.title | VARIOUS LIPSCHITZ-LIKE PROPERTIES FOR FUNCTIONS AND SETS I: DIRECTIONAL DERIVATIVE AND TANGENTIAL CHARACTERIZATIONS | en_US |
| Document type | dc.type | Artículo de revista | |
