On the local convergence of a secant like method in a banach space under weak conditions

Argyros, I.K.Khattri, S.K.George, S.2026-02-052016Panamerican Mathematical Journal, 2016, 26, 4, pp. 89-9910649735https://idr.nitk.ac.in/handle/123456789/25876We present a local convergence analysis of a Secant-like method in a Banach space setting. The method is used to approximate a solution of a nonlinear equation. The sufficient convergence conditions are weaker than in earlier studies. Numerical examples are also given in this work. © 2016 International Publications. All rights reserved.Banach spacedivided difference of order oneFréchet-derivativeLocal convergenceSecant-like methodOn the local convergence of a secant like method in a banach space under weak conditions