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dc.contributor.authorDe la Sen Parte, Manuel
dc.date.accessioned2013-09-26T17:14:21Z
dc.date.available2013-09-26T17:14:21Z
dc.date.issued2013
dc.identifier.citationJournal of Applied Mathematics 2013 : (2013) // Article ID 310106es
dc.identifier.issn1110-757X
dc.identifier.urihttp://hdl.handle.net/10810/10715
dc.description12 p.es
dc.description.abstractThis paper is devoted to investigating the limit properties of distances and the existence and uniqueness of fixed points, best proximity points and existence, and uniqueness of limit cycles, to which the iterated sequences converge, of single-valued, and so-called, contractive precyclic self-mappings which are proposed in this paper. Such self-mappings are defined on the union of a finite set of subsets of uniformly convex Banach spaces under generalized contractive conditions. Each point of a subset is mapped either in some point of the same subset or in a point of the adjacent subset. In the general case, the contractive condition of contractive precyclic self-mappings is admitted to be point dependent and it is only formulated on a complete disposal, rather than on each individual subset, while it involves a condition on the number of iterations allowed within each individual subset before switching to its adjacent one. It is also allowed that the distances in-between adjacent subsets can be mutually distinct including the case of potential pairwise intersection for only some of the pairs of adjacent subsets.es
dc.description.sponsorshipSpanish Government DPI2012-30651; Basque Government IT378-10 and SAIOTEK S-PE12UN015; University of Basque Country UFI 2011/07es
dc.language.isoenges
dc.publisherHindawi Publishing Corporationes
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectcomplete metric-spacees
dc.subjecttheoremses
dc.subjectcontractionses
dc.subjectoperatorses
dc.subjectstabilityes
dc.subjectsystemses
dc.titleSome Results on Fixed and Best Proximity Points of Precyclic Self-Mappingses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2013 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.es
dc.relation.publisherversionhttp://www.hindawi.com/journals/jam/2013/310106/es
dc.identifier.doi10.1155/2013/310106
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES
dc.subject.categoriaMATHEMATICS, APPLIED


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