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On the construction of metrics from fuzzy metrics and its application to the fixed point theory of multivalued mappings

Authors :
Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports
Ministerio de Economía y Competitividad
Castro Company, Francisco
Romaguera Bonilla, Salvador
Tirado Peláez, Pedro
Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports
Ministerio de Economía y Competitividad
Castro Company, Francisco
Romaguera Bonilla, Salvador
Tirado Peláez, Pedro
Publication Year :
2015

Abstract

[EN] We present a procedure to construct a compatible metric from a given fuzzy metric space. We use this approach to obtain a characterization of a large class of complete fuzzy metric spaces by means of a fuzzy version of Caristi’s fixed point theorem, obtaining, in this way, partial solutions to a recent question posed in the literature. Some illustrative examples are also given.

Details

Database :
OAIster
Notes :
TEXT, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1019869244
Document Type :
Electronic Resource

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