On the convergence of an iteration method for continuous mappings on an arbitrary interval
Nazli Kadioglu, İsa Yıldırım · Fixed Point Theory and Applications · 2013
In this paper, we consider an iterative method for finding a fixed point of continuous mappings on an arbitrary interval. Then, we give the necessary and sufficient conditions for the convergence of the proposed iterative methods for continuous mappings on an arbitrary interval. We also compare the rate of convergence between iteration methods. Finally, we provide a numerical example which supports our theoretical results. MSC: 26A18, 47H10, 54C05.