Surjection and inversion for locally Lipschitz maps between Banach spaces
| dc.contributor.author | Gutú, Olivia | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-17T12:44:56Z | |
| dc.date.available | 2023-06-17T12:44:56Z | |
| dc.date.issued | 2019-10-15 | |
| dc.description.abstract | We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider the Chang version of the weighted Palais-Smale condition for locally Lipschitz functionals in terms of the Clarke subdifferential, as well as the notion of pseudo-Jacobians in the infinite-dimensional setting, which are the analog of the pseudo-Jacobian matrices defined by Jeyakumar and Luc. Using these notions, we derive our results about existence and uniqueness of solution for nonlinear equations. In particular, we give a version of the classical Hadamard integral condition for global invertibility in this context. | |
| 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 | FALSE | |
| dc.description.sponsorship | MICINN | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/75940 | |
| dc.identifier.doi | 10.1016/j.jmaa.2019.05.044 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | https://doi.org/10.1016/j.jmaa.2019.05.044 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/12888 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 594 | |
| dc.page.initial | 578 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | MTM2015-65825-P | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Global invertibility | |
| dc.subject.keyword | Palais-Smale condition | |
| dc.subject.keyword | Nonsmooth analysis | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Surjection and inversion for locally Lipschitz maps between Banach spaces | |
| dc.type | journal article | |
| dc.volume.number | 478 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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