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A quantitative version of the Arzelà-Ascoli theorem based on the degree of nondensifiability and applications

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A quantitative version of the Arzelà-Ascoli theorem based on the degree of nondensifiability and applications

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dc.contributor.author García, G. es_ES
dc.date.accessioned 2019-04-04T10:20:47Z
dc.date.available 2019-04-04T10:20:47Z
dc.date.issued 2019-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/118976
dc.description.abstract [EN] We present a novel result that, in a certain sense, generalizes the Arzelà-Ascoli theorem. Our main tool will be the so called degree of nondensifiability, which is not a measure of noncompactness but canbe used as an alternative tool in certain fixed problems where such measures do not work out. To justify our results, we analyze the existence of continuous solutions of certain Volterra integral equations defined by vector valued functions. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Arzelà-Ascoli theorem es_ES
dc.subject Degree of nondensifiability es_ES
dc.subject α-dense curves es_ES
dc.subject Measures of noncompactness es_ES
dc.subject Volterra integral equations es_ES
dc.title A quantitative version of the Arzelà-Ascoli theorem based on the degree of nondensifiability and applications es_ES
dc.type Artículo es_ES
dc.date.updated 2019-04-04T06:29:52Z
dc.identifier.doi 10.4995/agt.2019.10930
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation García, G. (2019). A quantitative version of the Arzelà-Ascoli theorem based on the degree of nondensifiability and applications. Applied General Topology. 20(1):265-279. https://doi.org/10.4995/agt.2019.10930 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.10930 es_ES
dc.description.upvformatpinicio 265 es_ES
dc.description.upvformatpfin 279 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 1
dc.identifier.eissn 1989-4147
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