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Abstract In this paper, unified convergence analyses for Newton midpoint-based iterative methods of order three and five are studied to solve the system of nonlinear equations in Banach space settings. Our analysis uses assumptions only on the first two derivatives of the involved operator and gives the number of iterations needed to achieve the given accuracy. Numerical examples are illustrated to show the performance of the methods considered. MSC Classification: 65H10 , 65J15 , 65J05
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Chandhini et al. (2024) studied this question.
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