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Título:
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Global inversion of nonsmooth mappings using pseudo-Jacobian matrices
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Autores:
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Jaramillo Aguado, Jesús Ángel ;
Madiedo, Oscar ;
Sánchez González, Luis
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2014
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/embargoedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f, introduced by Jeyakumar and Luc, and we consider a related index of regularity for f. We obtain a characterization of global inversion in terms of its index of regularity. Furthermore, we prove that the Hadamard integral condition has a natural counterpart in this setting, providing a sufficient condition for global invertibility.
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En línea:
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https://eprints.ucm.es/id/eprint/26873/1/Jaramillo203libre.pdf
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