George, S.Argyros, I.K.Padikkal, P.Mahapatra, M.Saeed, M.2026-02-052021Mediterranean Journal of Mathematics, 2021, 18, 2, pp. -16605446https://doi.org/10.1007/s00009-021-01697-6https://idr.nitk.ac.in/handle/123456789/23274Using conditions on the second Fréchet derivative, fifth order of convergence was established in Singh et al. (Mediterr J Math 13:4219–4235, 2016) for an iterative method. In this paper, we establish fifth order of convergence of the method using assumptions only on the first Fréchet derivative of the involved operator. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.Banach spaceFréchet derivativeIterative methodOrder of convergence