Jiménez Fernández, E.; Rodríguez López, J.; Sánchez Pérez, EA. (2021). McShane-Whitney extensions for fuzzy Lipschitz maps. Fuzzy Sets and Systems. 406:66-81. https://doi.org/10.1016/j.fss.2020.08.001
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/183399
Title:
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McShane-Whitney extensions for fuzzy Lipschitz maps
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Author:
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Jiménez Fernández, Eduardo
Rodríguez López, Jesús
Sánchez Pérez, Enrique Alfonso
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical ...[+]
[EN] We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical theory of extensions of Lipschitz maps to the fuzzy context. We develop the problem in its full generality, explaining the similarities and differences with the classical case of extensions on metric spaces.
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Subjects:
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Fuzzy
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Metric
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Lipschitz
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Extension
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Fuzzy Sets and Systems. (issn:
0165-0114
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DOI:
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10.1016/j.fss.2020.08.001
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Publisher:
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Elsevier
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Publisher version:
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https://doi.org/10.1016/j.fss.2020.08.001
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Project ID:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095709-B-C21/ES/METRICAS DIFUSAS Y OPERADORES DE INDISTINGUIBILIDAD: APLICACIONES EN ROBOTICA/
info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/
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Thanks:
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The first and the last authors gratefully acknowledge the support of the Ministerio de Ciencia, Innovacion y Universidades, Agencial Estatal de Investigacion and FEDER under grant MTM2016-77054-C2-1-P. The second author ...[+]
The first and the last authors gratefully acknowledge the support of the Ministerio de Ciencia, Innovacion y Universidades, Agencial Estatal de Investigacion and FEDER under grant MTM2016-77054-C2-1-P. The second author acknowledges financial support from Ministerio de Ciencia, Innovacion y Universidades, Agencial Estatal de Investigacion and FEDER under grant PGC2018-095709-B-C21.
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Type:
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Artículo
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