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SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

Year 2019, Volume: 37 Issue: 3, 755 - 767, 01.09.2020

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.

References

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There are 18 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Kadri Dogan Dogan This is me

Faik Gursoy This is me 0000-0002-7118-9088

Vatan Karakaya This is me 0000-0003-4637-3139

Publication Date September 1, 2020
Submission Date November 2, 2018
Published in Issue Year 2019 Volume: 37 Issue: 3

Cite

Vancouver Dogan KD, Gursoy F, Karakaya V. SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. SIGMA. 2020;37(3):755-67.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/