@Article{JNMA-4-4,
author = {Prakash, Jaiswal, Jai},
title = {Existence and Uniqueness Theorems for a Three-Step Newton-Type Method under $L$-Average Conditions},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {4},
number = {4},
pages = {650--657},
abstract = {<p style="text-align: justify;">In this paper, we study the local convergence of a three-step Newton-type method for solving nonlinear equations in Banach spaces under weaker
hypothesis. More precisely, we derive the existence and uniqueness theorems,
when the first-order derivative of nonlinear operator satisfies the $L$-average
conditions instead of the usual Lipschitz condition, which have been discussed
in the earlier study.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.650},
url = {https://global-sci.com/article/87944/existence-and-uniqueness-theorems-for-a-three-step-newton-type-method-under-l-average-conditions}
}