On the convergence of the sixth order Homeier like method in Banach spaces

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dc.contributor.authorSuma, P.B.
dc.contributor.authorErappa, S.M.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-04T12:27:20Z
dc.date.issued2022
dc.description.abstractA sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods. © 2022, Erdal Karapinar. All rights reserved.
dc.identifier.citationResults in Nonlinear Analysis, 2022, 5, 4, pp. 452-458
dc.identifier.urihttps://doi.org/10.53006/rna.1138201
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22246
dc.publisherErdal Karapinar
dc.subjectBanach space
dc.subjectFrechet derivative
dc.subjectHomeier method
dc.subjectIterative method
dc.subjectLocal convergence
dc.titleOn the convergence of the sixth order Homeier like method in Banach spaces

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