Semilocal Convergence of a Three Step Fifth Order Iterative Method under Höolder Continuity Condition in Banach Spaces

Main Authors: Ramandeep Behl, Prashanth Maroju, S. S. Motsa
Format: Article
Bahasa: eng
Terbitan: , 2016
Subjects:
Online Access: https://zenodo.org/record/1127274
Daftar Isi:
  • In this paper, we study the semilocal convergence of a fifth order iterative method using recurrence relation under the assumption that first order Fréchet derivative satisfies the Hölder condition. Also, we calculate the R-order of convergence and provide some a priori error bounds. Based on this, we give existence and uniqueness region of the solution for a nonlinear Hammerstein integral equation of the second kind.