Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

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dc.contributor.authorGeorge, S.
dc.contributor.authorArgyros, I.K.
dc.contributor.authorPadikkal, P.
dc.contributor.authorMahapatra, M.
dc.contributor.authorSaeed, M.
dc.date.accessioned2026-02-05T09:27:11Z
dc.date.issued2021
dc.description.abstractUsing conditions on the second Fréchet derivative, fifth order of convergence was established in Singh et al. (Mediterr J Math 13:4219–4235, 2016) for an iterative method. In this paper, we establish fifth order of convergence of the method using assumptions only on the first Fréchet derivative of the involved operator. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.
dc.identifier.citationMediterranean Journal of Mathematics, 2021, 18, 2, pp. -
dc.identifier.issn16605446
dc.identifier.urihttps://doi.org/10.1007/s00009-021-01697-6
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23274
dc.publisherBirkhauser
dc.subjectBanach space
dc.subjectFréchet derivative
dc.subjectIterative method
dc.subjectOrder of convergence
dc.titleConvergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

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