Fixed point of continuous mappings defined on an arbitrary interval
Miskolc Mathematical Notes, cilt.20, sa.2, ss.719-728, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.18514/mmn.2019.2509
- Dergi Adı: Miskolc Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.719-728
- Anahtar Kelimeler: Continuous mapping, Convergence theorem, Fixed point
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
In this work, we consider an iterative method given by Karaca and Yildirim [6] to approximate fixed point of continuous mappings defined on an arbitrary interval. Then, we give a necessary and sufficient condition for convergence theorem. We also compare the rate of convergence between the other iteration methods. Finally, we provide a numerical example which supports our theoretical results. Our findings improve corresponding results in the contemporary literature.