Ball convergence theorem for a fifth-order method in banach spaces

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-08T16:50:28Z
dc.date.issued2019
dc.description.abstractWe present a local convergence analysis for a fifth-order method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the fourth Fréchet-derivative [1]. Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved.
dc.identifier.citationUnderstanding Banach Spaces, 2019, Vol., , p. 115-124
dc.identifier.isbn9781536167450
dc.identifier.isbn9781536167467
dc.identifier.urihttps://doi.org/10.1007/s13399-023-04079-y
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/33841
dc.publisherNova Science Publishers, Inc.
dc.subjectBanach space
dc.subjectFréchet- derivative
dc.subjectHigh convergence order method
dc.subjectLocal convergence
dc.titleBall convergence theorem for a fifth-order method in banach spaces

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