Hu's characterization of metric completeness revisited

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dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.authorRomaguera Bonilla, Salvador
dc.date.accessioned2023-06-20T18:01:49Z
dc.date.available2023-06-20T18:01:49Z
dc.date.issued2022-12-30es_ES
dc.description.abstract[EN] In this note we show the somewhat surprising fact that the proof of the `if part' of the distinguished characterizations of metric completeness due to Kirk, and Suzuki and Takahashi, respectively, can be deduced in a straightforward manner from Hu's theorem that a metric space is complete if and only if any Banach contraction on bounded and closed subsets thereof has a fixed point. We also take advantage of this approach to easily deduce a characterization of metric completeness via fixed point theorems for α − ψ-contractive mappings.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationRomaguera Bonilla, S. (2022). Hu's characterization of metric completeness revisited. Advances in the Theory of Nonlinear Analysis and its Applications. 6:476-480. https://doi.org/10.31197/atnaa.1090077es_ES
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dc.description.upvformatpfin480es_ES
dc.description.upvformatpinicio476es_ES
dc.description.volume6es_ES
dc.identifier.doi10.31197/atnaa.1090077es_ES
dc.identifier.eissn2587-2648es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/194430
dc.languageIngléses_ES
dc.publisherDergi Park Akademikes_ES
dc.relation.ispartofAdvances in the Theory of Nonlinear Analysis and its Applicationses_ES
dc.relation.pasarelaS\474124es_ES
dc.relation.publisherversionhttps://doi.org/10.31197/atnaa.1090077es_ES
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dc.rightsReconocimiento (by)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFixed pointes_ES
dc.subjectComplete metric spacees_ES
dc.titleHu's characterization of metric completeness revisitedes_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
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