Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorCho, Y.J.
dc.contributor.authorGeorge, S.
dc.contributor.authorXiao, Y.
dc.date.accessioned2026-02-05T09:29:17Z
dc.date.issued2020
dc.description.abstractThe paper develops the local convergence of Inexact Newton-Like Method (INLM) for approximating solutions of nonlinear equations in Banach space setting. We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis. The obtained results compare favorably with earlier ones such as [7, 13, 14, 18, 19]. A numerical example is also provided. © 2020, Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences.
dc.identifier.citationActa Mathematica Scientia, 2020, 40, 1, pp. 199-210
dc.identifier.issn2529602
dc.identifier.urihttps://doi.org/10.1007/s10473-020-0113-0
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24200
dc.publisherSpringer
dc.subjectBanach space
dc.subjectinexact Newton method
dc.subjectKantorovich hypotheses
dc.subjectrecurrent functions
dc.subjectsemilocal convergence
dc.subjectweak and center-weak Lipschitz condition
dc.titleLocal Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions

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