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An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator

dc.contributor.authorBerenguer Maldonado, María Isabel 
dc.contributor.authorRuiz Galán, Manuel 
dc.date.accessioned2022-05-04T06:45:08Z
dc.date.available2022-05-04T06:45:08Z
dc.date.issued2022-03-22
dc.identifier.citationBerenguer, M.I.; Ruiz Galán, M. An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator. Mathematics 2022, 10, 1012. [https://doi.org/10.3390/math10071012]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/74673
dc.descriptionThis research was partially supported by Junta de Andalucia, Project "Convex and numerical analysis", reference FQM359, and by the "Maria de Maeztu" Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/.es_ES
dc.description.abstractFirst of all, in this paper we obtain a perturbed version of the geometric series theorem, which allows us to present an iterative numerical method to approximate the fixed point of a contractive affine operator. This result requires some approximations that we obtain using the projections associated with certain Schauder bases. Next, an algorithm is designed to approximate the solution of Fredholm’s linear integral equation, and we illustrate the behavior of the method with some numerical examples.es_ES
dc.description.sponsorshipJunta de Andalucia FQM359es_ES
dc.description.sponsorship"Maria de Maeztu" Excellence Unit IMAG - MCIN/AEI CEX2020-001105-Mes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectIterative numerical methodses_ES
dc.subjectSchauder baseses_ES
dc.subjectFredholm integral equationes_ES
dc.titleAn Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operatores_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.3390/math10071012
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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