SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

Kadri Dogan Dogan; Faik Gursoy; Vatan Karakaya

SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS

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

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Kadri Dogan Dogan This is me
Türkiye

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

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

Publication Date

September 1, 2020

Submission Date

November 2, 2018

Acceptance Date

May 9, 2019

Published in Issue

Year 2019 Volume: 37 Number: 3

IZ

https://izlik.org/JA46YD25PZ

Cite

RIS / Bibtex

APA

Dogan, K. D., Gursoy, F., & Karakaya, V. (2020). SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. Sigma Journal of Engineering and Natural Sciences, 37(3), 755-767. https://izlik.org/JA46YD25PZ

AMA

1.Dogan KD, Gursoy F, Karakaya V. SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. SIGMA. 2020;37(3):755-767. https://izlik.org/JA46YD25PZ

Chicago

Dogan, Kadri Dogan, Faik Gursoy, and Vatan Karakaya. 2020. “SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS”. Sigma Journal of Engineering and Natural Sciences 37 (3): 755-67. https://izlik.org/JA46YD25PZ.

EndNote

Dogan KD, Gursoy F, Karakaya V (September 1, 2020) SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. Sigma Journal of Engineering and Natural Sciences 37 3 755–767.

IEEE

[1]K. D. Dogan, F. Gursoy, and V. Karakaya, “SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS”, SIGMA, vol. 37, no. 3, pp. 755–767, Sept. 2020, [Online]. Available: https://izlik.org/JA46YD25PZ

ISNAD

Dogan, Kadri Dogan - Gursoy, Faik - Karakaya, Vatan. “SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS”. Sigma Journal of Engineering and Natural Sciences 37/3 (September 1, 2020): 755-767. https://izlik.org/JA46YD25PZ.

JAMA

1.Dogan KD, Gursoy F, Karakaya V. SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. SIGMA. 2020;37:755–767.

MLA

Dogan, Kadri Dogan, et al. “SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 3, Sept. 2020, pp. 755-67, https://izlik.org/JA46YD25PZ.

Vancouver

1.Kadri Dogan Dogan, Faik Gursoy, Vatan Karakaya. SOME FIXED POINT RESULTS FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVALS. SIGMA [Internet]. 2020 Sep. 1;37(3):755-67. Available from: https://izlik.org/JA46YD25PZ