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On the ball of convergence of secant-like methods for non-differentiable operators

Author

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  • Hernández-Verón, M.A.
  • Rubio, M.J.

Abstract

In this paper, we analyze the local convergence of a uniparametric family of secant-like methods for solving nonlinear operators in Banach spaces. This new study has an important and novel feature, since it is applicable to non-differential operators. So far, the results of local convergence usually considered can be only applied to differentiable operators.

Suggested Citation

  • Hernández-Verón, M.A. & Rubio, M.J., 2016. "On the ball of convergence of secant-like methods for non-differentiable operators," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 506-512.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:506-512
    DOI: 10.1016/j.amc.2015.10.007
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    Cited by:

    1. Abhimanyu Kumar & Dharmendra K. Gupta & Eulalia Martínez & Sukhjit Singh, 2018. "Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces," Complexity, Hindawi, vol. 2018, pages 1-11, May.

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