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 |
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Format: | Article |
Bahasa: | eng |
Terbitan: |
, 2016
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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.