Ball Convergence for an Inverse Free Jarratt-Type Method Under Hölder Conditions

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:25Z
dc.date.issued2017
dc.description.abstractWe present a local convergence analysis of an inverse free Jarratt-type method in order to approximate a locally unique solution of an equation in a Banach space setting. Earlier studies have used hypotheses up to the third Fréchet-derivative of the operator involved to show convergence although only the first derivative is used in the method. We show convergence using only the first Fréchet derivative under Hölder conditions. This way we expand the applicability of the method. Numerical examples are also provided in this study. © 2015, Springer India Pvt. Ltd.
dc.identifier.citationInternational Journal of Applied and Computational Mathematics, 2017, 3, 1, pp. 157-164
dc.identifier.issn23495103
dc.identifier.urihttps://doi.org/10.1007/s40819-015-0095-x
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25663
dc.publisherSpringer
dc.subjectBanach space
dc.subjectFréchet derivative
dc.subjectHölder condition
dc.subjectJarratt method
dc.subjectLocal convergence
dc.titleBall Convergence for an Inverse Free Jarratt-Type Method Under Hölder Conditions

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