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
Ioannis K. ARGYROS
,
Yeol Je CHO
,
Santhosh GEORGE
,
Yibin XIAO
. LOCAL CONVERGENCE OF INEXACT NEWTON-LIKE METHOD UNDER WEAK LIPSCHITZ CONDITIONS[J]. Acta mathematica scientia, Series B, 2020
, 40(1)
: 199
-210
.
DOI: 10.1007/s10473-020-0113-0
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