Global inversion of nonsmooth mappings on Finsler manifolds
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.contributor.author | Madiedo Castro, Óscar Reynaldo | |
| dc.contributor.author | Sánchez González, Luis | |
| dc.date.accessioned | 2023-06-19T13:23:15Z | |
| dc.date.available | 2023-06-19T13:23:15Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, using this, we obtain a version of the Hadamard integral condition for invertibility. As consequences, we deduce some global inversion and global injectivity results for Lipschitz mappings on R-n in terms of spectral conditions of its Clarke generalized differential. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | MICINN (Spain) | |
| dc.description.sponsorship | Fundacion Cajamadrid | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24701 | |
| dc.identifier.issn | 0944-6532 | |
| dc.identifier.officialurl | http://www.heldermann-verlag.de/jca/jca20/jca1225_b.pdf | |
| dc.identifier.relatedurl | http://www.heldermann-verlag.de/ | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/1201.4666v1.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33476 | |
| dc.issue.number | 4 | |
| dc.journal.title | Journal of convex analysis | |
| dc.language.iso | eng | |
| dc.page.final | 1146 | |
| dc.page.initial | 1127 | |
| dc.publisher | Heldermann Verlag | |
| dc.relation.projectID | BES2010-031192 | |
| dc.relation.projectID | MTM2009-07848 | |
| dc.relation.projectID | MEC AP2007-00868 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Global inversion | |
| dc.subject.keyword | generalized differential | |
| dc.subject.keyword | Finsler manifolds | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Global inversion of nonsmooth mappings on Finsler manifolds | |
| dc.type | journal article | |
| dc.volume.number | 20 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication | 909bcd7b-5d7f-4c31-9f54-9b9ad14532ae | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
