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<p>This paper introduces and analyzes some new highly efficient iteration procedures for approximating fixed points of contractive-type mappings. The stability, strong convergence, and performance of the proposed schemes have been investigated through numerical examples. Numerical examples demonstrate that the newly introduced schemes produce highly accurate approximations comparable to other similar robust schemes appeared in the literature. Nevertheless, all the schemes developed here are more efficient than similar robust schemes available in the literature.</p>

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A Novel Three-Step Fixed-Point Iteration Scheme for Robust Solutions Finding and Applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月29日

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  • Puneet Sharma,
  • Higinio Ramos,
  • Manoj Kumar,
  • Vinay Kanwar

摘要

This paper introduces and analyzes some new highly efficient iteration procedures for approximating fixed points of contractive-type mappings. The stability, strong convergence, and performance of the proposed schemes have been investigated through numerical examples. Numerical examples demonstrate that the newly introduced schemes produce highly accurate approximations comparable to other similar robust schemes appeared in the literature. Nevertheless, all the schemes developed here are more efficient than similar robust schemes available in the literature.