Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
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Date
2020
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Publisher
Springer
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.
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Keywords
Banach space, inexact Newton method, Kantorovich hypotheses, recurrent functions, semilocal convergence, weak and center-weak Lipschitz condition
Citation
Acta Mathematica Scientia, 2020, 40, 1, pp. 199-210