Local convergence of an at least sixth-order method in Banach spaces

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorKhattri, S.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:30:18Z
dc.date.issued2019
dc.description.abstractWe present a local convergence analysis of an at least sixth-order family of methods to approximate a locally unique solution of nonlinear equations in a Banach space setting. The semilocal convergence analysis of this method was studied by Amat et al. in (Appl Math Comput 206:164–174, 2008; Appl Numer Math 62:833–841, 2012). This work provides computable convergence ball and computable error bounds. Numerical examples are also provided in this study. © 2019, Springer Nature Switzerland AG.
dc.identifier.citationJournal of Fixed Point Theory and Applications, 2019, 21, 1, pp. -
dc.identifier.issn16617738
dc.identifier.urihttps://doi.org/10.1007/s11784-019-0662-6
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24667
dc.publisherBirkhauser Verlag AG
dc.subjectBanach space
dc.subjectlocal convergence
dc.subjectmajorizing sequences
dc.subjectNewton-like methods
dc.subjectrecurrent functions
dc.subjectrecurrent relations
dc.subjectSixth-order methods
dc.subjectthree-step
dc.titleLocal convergence of an at least sixth-order method in Banach spaces

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