%0 Journal Article
	%A Ramandeep Behl and  Prashanth Maroju and  S. S. Motsa
	%D 2016
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 119, 2016
	%T Semilocal Convergence of a Three Step Fifth Order Iterative Method under Höolder Continuity Condition in Banach Spaces
	%U https://publications.waset.org/pdf/10005715
	%V 119
	%X 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.
	%P 574 - 578