Extended and unified local convergence for Newton-Kantorovich method under w- conditions with applications

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:34Z
dc.date.issued2017
dc.description.abstractThe goal of this paper is to present a local convergence analysis of Newton's method for approximating a locally unique solution of an equation in a Banach space setting. Using the gauge function theory and our new idea of restricted convergence regions we present an extended and unified convergence theory.
dc.identifier.citationWSEAS Transactions on Mathematics, 2017, 16, , pp. 248-256
dc.identifier.issn11092769
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25727
dc.publisherWorld Scientific and Engineering Academy and Society mastorakis4567@gmail.com Ag. Ioannou Theologou 17-23, Zographou Athens 15773
dc.subjectBanach space
dc.subjectConvergence region
dc.subjectGauge function
dc.subjectNewton's method
dc.subjectNewton-Kantorovich theorem
dc.subjectSemilocal convergence
dc.titleExtended and unified local convergence for Newton-Kantorovich method under w- conditions with applications

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