Local convergence of a fifth convergence order method in Banach space

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:13Z
dc.date.issued2017
dc.description.abstractWe provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative. Previous works use conditions reaching up to the fourth Fréchet-derivative. This way, the applicability of these methods is extended under weaker conditions and less computational cost for the Lipschitz constants appearing in the convergence analysis. Numerical examples are also given in this paper. © 2016 The Authors
dc.identifier.citationArab Journal of Mathematical Sciences, 2017, 23, 2, pp. 205-214
dc.identifier.issn13195166
dc.identifier.urihttps://doi.org/10.1016/j.ajmsc.2016.10.002
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25577
dc.publisherElsevier B.V.
dc.subjectBanach space
dc.subjectFréchet-derivative
dc.subjectHigh convergence order method
dc.subjectLocal convergence
dc.subjectNonlinear equation
dc.titleLocal convergence of a fifth convergence order method in Banach space

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