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Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability

dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.contributor.authorIbeas Hernández, Asier ORCID
dc.date.accessioned2016-03-18T12:10:45Z
dc.date.available2016-03-18T12:10:45Z
dc.date.issued2014
dc.identifier.citationAbstract and Applied Analysis 2014 : (2014) // Article ID 948749es
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.urihttp://hdl.handle.net/10810/17702
dc.description.abstractThis paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings considered in the first iterative scheme are constructed by linear combinations of a set of self-mappings, each of them being a weighted version of a certain primary self-mapping on the same space. The sequences of self-mappings of the second iterative scheme are powers of an iteration-dependent scaled version of the primary self-mapping. Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.es
dc.description.sponsorshipThe authors are very grateful to the Spanish and Basque Governments and to UPV/EHU for Grants DPI2012-30651, IT378-10, SAIOTEK S-PE13UN039, and UFI 2011/07. They thank the reviewers for their comments.es
dc.language.isoenges
dc.publisherHindawi Publishinges
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectaffine switched systemses
dc.subjecttime-invariant systemses
dc.subjectdiferenttial-equationses
dc.subjectself-mapses
dc.subjectstabilizationes
dc.subjectpositivityes
dc.subjectdelayses
dc.subjectorderes
dc.titleConvergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stabilityes
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2014 Manuel De la Sen and Asier Ibeas. 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/aaa/2014/948749/abs/es
dc.identifier.doi10.1155/2014/948749
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES
dc.subject.categoriaANALYSIS
dc.subject.categoriaMATHEMATICS, APPLIED


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