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We improved the applicability of a sixth-order iterative method studied by Yaseen and Zafar (Arab J Math 11:585–599, 2022 [1]) for solving nonlinear equations. Their analysis uses derivatives of order up to seven whereas our analysis is suitable in more general Banach space settings and uses only the first three Frechet derivatives of the involved operator with Lipschitz-type conditions. Also, our study gives the computable radius of the convergence ball and the number of iterations to obtain the solution with a given accuracy.

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On Improving the Applicability of a Jarratt-Type Iterative Method

  • 会议论文

  • 发表日期：

    2026年

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  • M. Muniyasamy,
  • Santhosh George

摘要

We improved the applicability of a sixth-order iterative method studied by Yaseen and Zafar (Arab J Math 11:585–599, 2022 [1]) for solving nonlinear equations. Their analysis uses derivatives of order up to seven whereas our analysis is suitable in more general Banach space settings and uses only the first three Frechet derivatives of the involved operator with Lipschitz-type conditions. Also, our study gives the computable radius of the convergence ball and the number of iterations to obtain the solution with a given accuracy.