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Artículo
A geometrical coefficient implying the fixed point property and stability results
dc.creator | Domínguez Benavides, Tomás | es |
dc.date.accessioned | 2016-06-02T10:12:48Z | |
dc.date.available | 2016-06-02T10:12:48Z | |
dc.date.issued | 1996 | |
dc.identifier.citation | Domínguez Benavides, T. (1996). A geometrical coefficient implying the fixed point property and stability results. Houston Journal of Mathematics, 22 (4), 835-849. | |
dc.identifier.issn | 0362-1588 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41801 | |
dc.description.abstract | In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many important classes of Banach spaces and we obtain lower bounds for M(X) based upon either the modulus of near uniform smoothness or the modulus of the Opia] property of the conjugated space. We show that this new constant gives us stability results for the fixed point property with respect to œp-spaces which improve all previous results. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | University of Houston | es |
dc.relation.ispartof | Houston Journal of Mathematics, 22 (4), 835-849. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | nonexpansive mapping | es |
dc.subject | fixed point | es |
dc.subject | normal structure | es |
dc.subject | uniform smoothness | es |
dc.subject | near uniform smoothness | es |
dc.subject | Opial property | es |
dc.title | A geometrical coefficient implying the fixed point property and stability results | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PB 93-1177-C01 | es |
dc.relation.projectID | 1241 | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Houston Journal of Mathematics | es |
dc.publication.volumen | 22 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 835 | es |
dc.publication.endPage | 849 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41801 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |
dc.contributor.funder | Junta de Andalucía |
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