On the convergence of an iteration method for continuous mappings on an arbitrary interval

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Atıf İçin Kopyala

KADIOĞLU N., YILDIRIM İ.

FIXED POINT THEORY AND APPLICATIONS, 2013 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2013
• Doi Numarası: 10.1186/1687-1812-2013-124
• Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we consider an iterative method for finding a fixed point of continuous mappings on an arbitrary interval. Then, we give the necessary and sufficient conditions for the convergence of the proposed iterative methods for continuous mappings on an arbitrary interval. We also compare the rate of convergence between iteration methods. Finally, we provide a numerical example which supports our theoretical results.