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<p>In this paper, we advance the convergence study of a sixth-order iterative scheme for solving nonlinear equations, initially investigated by Sharma et al. Unlike the original approach, which depends on derivatives up to the sixth order, our analysis is developed in a broader Banach space setting and avoids the use of Taylor expansions. Moreover, the presented framework establishes a precise and computable convergence radius, along with error estimates and results on the uniqueness and isolation of the solution.</p>

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Extended Newton-Ozban method of order six for solving nonlinear equations

  • 期刊论文

  • 发表日期：

    2026年4月20日

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  • Ioannis K. Argyros,
  • C D Sreedeep,
  • M Manasa

摘要

In this paper, we advance the convergence study of a sixth-order iterative scheme for solving nonlinear equations, initially investigated by Sharma et al. Unlike the original approach, which depends on derivatives up to the sixth order, our analysis is developed in a broader Banach space setting and avoids the use of Taylor expansions. Moreover, the presented framework establishes a precise and computable convergence radius, along with error estimates and results on the uniqueness and isolation of the solution.