Ball convergence for a sixth-order multi-point method in Banach spaces under weak conditions

Volume 47 / 2020

Ioannis K. Argyros, Santhosh George Applicationes Mathematicae 47 (2020), 133-144 MSC: Primary 65D10, 65D99, 65G99; Secondary 47H17, 49M15. DOI: 10.4064/am2350-2-2018 Published online: 24 June 2019

Abstract

The aim of this paper is to extend the applicability of some high order iterative methods without using hypotheses on derivatives not appearing in those methods. Numerical examples are given where earlier convergence conditions are not satisfied but the new ones are satisfied.

Authors

  • Ioannis K. ArgyrosDepartment of Mathematical Sciences
    Cameron University
    Lawton, OK 73505, U.S.A.
    ORCID: 0000-0003-1609-3195
    e-mail
  • Santhosh GeorgeDepartment of Mathematical
    and Computational Sciences
    National Institute of Technology Karnataka
    Karnataka 757 025, India
    ORCID: 0000-0002-3530-5539
    e-mail

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