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

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.