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Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
- Issue Date
- Jan-2020
- Publisher
- Kluwer Academic Publishers
- Keywords
- inexact Newton method; Banach space; semilocal convergence; weak and center-weak Lipschitz condition; recurrent functions; Kantorovich hypotheses
- Citation
- Acta Mathematica Scientia, v.40, no.1, pp 199 - 210
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- Acta Mathematica Scientia
- Volume
- 40
- Number
- 1
- Start Page
- 199
- End Page
- 210
- ISSN
- 0252-9602
1572-9087
- 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.
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