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Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions

Author

Listed:
  • Ioannis K. Argyros

    (Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, USA
    These authors contributed equally to this work.)

  • Ramandeep Behl

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

We provide a ball comparison between some 4-order methods to solve nonlinear equations involving Banach space valued operators. We only use hypotheses on the first derivative, as compared to the earlier works where they considered conditions reaching up to 5-order derivative, although these derivatives do not appear in the methods. Hence, we expand the applicability of them. Numerical experiments are used to compare the radii of convergence of these methods.

Suggested Citation

  • Ioannis K. Argyros & Ramandeep Behl, 2019. "Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions," Mathematics, MDPI, vol. 7(1), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:89-:d:198180
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    References listed on IDEAS

    as
    1. Moin-ud-Din Junjua & Saima Akram & Nusrat Yasmin & Fiza Zafar, 2015. "A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-14, March.
    Full references (including those not matched with items on IDEAS)

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