Doğan, KadriGürsoy, FarukKarakaya, Vatan2020-06-242020-06-242019Doğan, K., Gürsoy, F., & Karakaya, V. (2019). Some fixed point results for continuous functions on an arbitrary intervals. Sigma: Journal of Engineering & Natural Sciences/Mühendislik ve Fen Bilimleri Dergisi.37(3), 755-767.https://hdl.handle.net/11494/2118In this paper, we first give a necessary and sufficient condition for convergence of Picard-S iteration process to a fixed point of continuous functions on an arbitrary interval and prove equivalence of Picard-S and P iterative processes. We also compare the rate of convergence between Picard-S and some others iteration processes in the literature. Finally, some numerical examples for comparing the rate of convergence of those methods are also given.eninfo:eu-repo/semantics/openAccessRate of convergencePicard-S iteration processContinuous functionClosed intervalArticle373755767N/A