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Hu's characterization of metric completeness revisited

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Hu's characterization of metric completeness revisited

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dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.date.accessioned 2023-06-20T18:01:49Z
dc.date.available 2023-06-20T18:01:49Z
dc.date.issued 2022-12-30 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194430
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 xed point. We also take advantage of this approach to easily deduce a characterization of metric completeness via xed point theorems for ¿ ¿ ¿-contractive mappings. es_ES
dc.language Inglés es_ES
dc.publisher Dergi Park Akademik es_ES
dc.relation.ispartof Advances in the Theory of Nonlinear Analysis and its Applications es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Fixed point es_ES
dc.subject Complete metric space es_ES
dc.subject Hu es_ES
dc.subject Caristi-Kirk es_ES
dc.subject Suzuki-Takahashi es_ES
dc.subject 2010 MSC: 54H25 es_ES
dc.subject 54E50 es_ES
dc.subject 47H10 es_ES
dc.title Hu's characterization of metric completeness revisited es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.31197/atnaa.1090077 es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Romaguera 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.1090077 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.31197/atnaa.1090077 es_ES
dc.description.upvformatpinicio 476 es_ES
dc.description.upvformatpfin 480 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 6 es_ES
dc.identifier.eissn 2587-2648 es_ES
dc.relation.pasarela S\474124 es_ES
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