Some fixed point results for continuous functions on an arbitrary intervals

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Yıldız Teknik Üniversitesi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Rate of convergence, Picard-S iteration process, Continuous function, Closed interval

Kaynak

Sigma Journal Of Engineering And Natural Sciences-Sigma Mühendislik Ve Fen Bilimleri Dergisi

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

37

Sayı

3

Künye

Doğan, 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.