George S.Argyros I.K.Jidesh P.Mahapatra M.Saeed M.2021-05-052021-05-052021Mediterranean Journal of Mathematics , Vol. 18 , 2 , p. -https://doi.org/10.1007/s00009-021-01697-6https://idr.nitk.ac.in/handle/123456789/16076Using 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.Article