Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
| dc.contributor.author | Gutú, Olivia | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.contributor.author | Madiedo Castro, Óscar Reynaldo | |
| dc.date.accessioned | 2023-06-22T10:51:22Z | |
| dc.date.available | 2023-06-22T10:51:22Z | |
| dc.date.issued | 2022-03-01 | |
| dc.description.abstract | Our aim in this paper is to study the global invertibility of a locally Lipschitz map f : X → Y between (possibly infinite-dimensional) Finsler manifolds, stressing the connections with covering properties and metric regularity of f. To this end, we introduce a natural notion of pseudo-Jacobian Jf in this setting, as is a kind of set-valued differential object associated to f. By means of a suitable index, we study the relations between properties of pseudo-Jacobian Jf and local metric properties of the map f, which lead to conditions for f to be a covering map, and for f to be globally invertible. In particular, we obtain a version of Hadamard integral condition 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 | Ministerio de Ciencia e Innovación (MICINN) | |
| dc.description.status | unpub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/73512 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/71789 | |
| dc.language.iso | eng | |
| dc.relation.projectID | PGC2018-097286-B-I00 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.988 | |
| dc.subject.keyword | Global invertibility | |
| dc.subject.keyword | Finsler manifolds | |
| dc.subject.keyword | Nonsmooth analysis | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols | |
| dc.type | journal article | |
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