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

Argyros, I.K.Cho, Y.J.George, S.Xiao, Y.2020-03-312020-03-312020Acta Mathematica Scientia, 2020, Vol.40, 1, pp.199-210https://idr.nitk.ac.in/handle/123456789/11920The 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.Local Convergence of Inexact Newton-Like Method under Weak Lipschitz ConditionsArticle