@article{(Open Science Index):https://publications.waset.org/pdf/10005715, title = {Semilocal Convergence of a Three Step Fifth Order Iterative Method under Höolder Continuity Condition in Banach Spaces}, author = {Ramandeep Behl and Prashanth Maroju and S. S. Motsa}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {11}, year = {2016}, pages = {574 - 578}, ee = {https://publications.waset.org/pdf/10005715}, url = {https://publications.waset.org/vol/119}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 119, 2016}, }