Fixed points for cyclic orbital generalized contractions on complete metric spaces

---

Karapinar E., Romaguera S., TAŞ K.

Central European Journal of Mathematics, cilt.11, sa.3, ss.552-560, 2013 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 11 Sayı: 3
• Basım Tarihi: 2013
• Doi Numarası: 10.2478/s11533-012-0145-0
• Dergi Adı: Central European Journal of Mathematics
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.552-560
• Anahtar Kelimeler: Complete metric space, Cyclic generalized contraction, Fixed point
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Uşak Üniversitesi Adresli: Hayır

Özet

We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal. © 2013 Versita Warsaw and Springer-Verlag Wien.