MMN-2509
Fixed point of continuous mappings defined on an arbitrary interval
Osman Alagoz; Birol Gunduz; Sezgin Akbulut;Abstract
In this work, we consider an iterative method given by Karaca and Yildirim \cite{10} for finding fixed point of continuous mappings defined on an arbitrary interval. Then, we give the necessary and sufficient condition for convergence theorem. We also compare the rate of convergence between the other iteration methods. Finally, we provide a numerical example which supports our theoretical results. Our findings improve correspending results in the contemporary literature.
Vol. 20 (2019), No. 2, pp. 719-728