SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:3
SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

Authors : Kadri Dogan DOGAN, Faik GURSOY, Vatan KARAKAYA

Pages : 755-767

View : 30 | Download : 7

Publication Date : 2020-09-01

Article Type : Research Paper

Abstract :In 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.
Keywords : Rate of convergence, Picard S iteration process, continuous function, closed interval

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