Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols

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 i...

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Detalles Bibliográficos
Autores: Gutú, Olivia, Jaramillo Aguado, Jesús Ángel, Madiedo Castro, Óscar Reynaldo
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71789
Acceso en línea:https://hdl.handle.net/20.500.14352/71789
Access Level:acceso abierto
Palabra clave:517.988
Global invertibility
Finsler manifolds
Nonsmooth analysis
Análisis funcional y teoría de operadores
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spelling Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifolsGutú, OliviaJaramillo Aguado, Jesús ÁngelMadiedo Castro, Óscar Reynaldo517.988Global invertibilityFinsler manifoldsNonsmooth analysisAnálisis funcional y teoría de operadoresOur 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.Universidad Complutense de Madrid20222022-03-0120222022-03-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/71789reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/717892026-06-02T12:44:21Z
dc.title.none.fl_str_mv Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
title Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
spellingShingle Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
Gutú, Olivia
517.988
Global invertibility
Finsler manifolds
Nonsmooth analysis
Análisis funcional y teoría de operadores
title_short Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
title_full Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
title_fullStr Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
title_full_unstemmed Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
title_sort Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
dc.creator.none.fl_str_mv Gutú, Olivia
Jaramillo Aguado, Jesús Ángel
Madiedo Castro, Óscar Reynaldo
author Gutú, Olivia
author_facet Gutú, Olivia
Jaramillo Aguado, Jesús Ángel
Madiedo Castro, Óscar Reynaldo
author_role author
author2 Jaramillo Aguado, Jesús Ángel
Madiedo Castro, Óscar Reynaldo
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.988
Global invertibility
Finsler manifolds
Nonsmooth analysis
Análisis funcional y teoría de operadores
topic 517.988
Global invertibility
Finsler manifolds
Nonsmooth analysis
Análisis funcional y teoría de operadores
description 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.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-03-01
2022
2022-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/71789
url https://hdl.handle.net/20.500.14352/71789
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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