Faculty Publications

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Author: search.filters.author.Xiao, Y.Subject: search.filters.subject.Banach space

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    Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
    (Springer, 2020) Argyros, I.K.; Cho, Y.J.; George, S.; Xiao, Y.
    The 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.