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dc.creatorArgyros, Ioannis K.
dc.creatorGeorge, Santhosh
dc.date2021-04-14
dc.date.accessioned2021-08-17T20:35:26Z
dc.date.available2021-08-17T20:35:26Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2601
dc.identifier10.4067/S0719-06462021000100097
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/174246
dc.descriptionWe provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations. The convergence domain is extended resulting a finer convergence analysis for both types. This is achieved by locating a smaller domain included in the older domain leading this way to tighter Lipschitz type functions. These extensions are obtained without additional hypotheses. Numerical examples are used to test the convergence criteria and also to show the superiority for our results over earlier ones. Our idea can be utilized to extend other schemes using inverses in a similar way.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2601/2054
dc.rightsCopyright (c) 2021 I. K. Argyros et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 23 No. 1 (2021); 97–108en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 23 Núm. 1 (2021); 97–108es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectFifth order convergence schemeen-US
dc.subjectw-continuityen-US
dc.subjectconvergence analysisen-US
dc.subjectFréchet derivativeen-US
dc.subjectBanach spaceen-US
dc.titleExtended domain for fifth convergence order schemesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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