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Title: Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
Authors: Argyros, I.K.
Cho, Y.J.
George, S.
Xiao, Y.
Issue Date: 2020
Citation: Acta Mathematica Scientia, 2020, Vol.40, 1, pp.199-210
Abstract: 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.
Appears in Collections:1. Journal Articles

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