dc.creator | Domínguez Benavides, Tomás | es |
dc.creator | Japón Pineda, María de los Ángeles | es |
dc.date.accessioned | 2016-07-11T10:08:43Z | |
dc.date.available | 2016-07-11T10:08:43Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Domínguez Benavides, T. y Japón Pineda, M.d.l.Á. (2005). Fixed points of nonexpansive mappings in spaces of continuous functions. Proceedings of the American Mathematical Society, 133 (10), 3037-3046. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43459 | |
dc.description.abstract | Let K be a compact metrizable space and C(K) the Banach space of all
real continuous functions defined on K with the maximum norm. It is known that C(K) fails to have the weak fixed point property for nonexpansive mappings (w-FPP) when K contains a perfect set. However the space C(ω
n + 1), where n ∈ N and ω is the first infinite ordinal number, enjoys the w-FPP and so C(K) also satisfies this
property if K(ω) = ∅. It is unknown if C(K) has the w-FPP when K is a scattered set such that K(ω) 6= ∅. In this paper we prove that certain subspaces of C(K), with K(ω) 6= ∅, satisfy the w-FPP. To prove this result we introduce the notion of ω-almost weak orthogonality and we prove that an ω-almost weakly orthogonal closed subspace of C(K) enjoys the w-FPP. We show an example of an ω-almost weakly orthogonal subspace of C(ω
ω + 1) which is not contained in C(ω n + 1) for any n ∈ N. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 133 (10), 3037-3046. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Fixed points of nonexpansive mappings in spaces of continuous functions | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | BMF2000-0344-C02-C01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1090/S0002-9939-05-08149-9 | es |
dc.identifier.doi | 10.1090/S0002-9939-05-08149-9 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.volumen | 133 | es |
dc.publication.issue | 10 | es |
dc.publication.initialPage | 3037 | es |
dc.publication.endPage | 3046 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43459 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |
dc.contributor.funder | Junta de Andalucía | |