EXTENDING THE APPLICABILITY OF A SEVENTH-ORDER METHOD FOR EQUATIONS UNDER GENERALIZED CONDITIONS

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dc.contributor.authorRegmi, S.
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorArgyros, C.I.
dc.date.accessioned2026-02-04T12:26:56Z
dc.date.issued2023
dc.description.abstractWe extend the applicability of a seventh-order method for solving Banach space-valued equations. This is achieved by using generalized conditions on the first derivative which only appears in the method. Earlier works use conditions up to the eighth derivative to establish convergence. Our technique is very general and can be used to extend the applicability of other methods along the same lines. © Instytut Matematyczny PAN, 2023.
dc.identifier.citationApplicationes Mathematicae, 2023, 50, 2, pp. 167-175
dc.identifier.issn12337234
dc.identifier.urihttps://doi.org/10.4064/am2439-2-2023
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22074
dc.publisherInstitute of Mathematics. Polish Academy of Sciences
dc.subjectBanach space
dc.subjectconvergence order
dc.subjectiterative method
dc.titleEXTENDING THE APPLICABILITY OF A SEVENTH-ORDER METHOD FOR EQUATIONS UNDER GENERALIZED CONDITIONS

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