Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 8 - Sayı: 2
Convergence of S-Iteration Method for Continuous Functions on An Arbitrary Interval
- Pages
- 201–213
- DOI
- —
Abstract
In this paper, we consider S-iteration to find fixed points of continuous mappings on an arbitraryinterval. We give some necessary and sufficient conditions for the convergence of this iteration. Also, we provedthat the rate of convergence of S-iteration is better than some other iterations for continuous and nondecreasingmappings. It is also noted that the method of proof of Lemma 3 using S-iteration is slightly different from that usingthe iteration schemes like Mann.
Özet
Bu makalede keyfi bir aralıkta tanımlanan sürekli fonksiyonların sabit noktalarını bulmak için S-iterasyonu