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dc.contributor.authorArgyros I.K.
dc.contributor.authorGeorge S.
dc.identifier.citationUnderstanding Banach Spaces , Vol. , , p. 115 - 124en_US
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.en_US
dc.titleBall convergence theorem for a fifth-order method in banach spacesen_US
dc.typeBook Chapteren_US
Appears in Collections:3. Book Chapters

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