Cyclic Contractions and Related Fixed Point Theorems on <i>G</i>-Metric Spaces

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Bilgili N., Erhan I. M., Karapinar E., Turkoglu D.

APPLIED MATHEMATICS & INFORMATION SCIENCES, cilt.8, sa.4, ss.1541-1551, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.12785/amis/080407
  • Dergi Adı: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1541-1551
  • Anahtar Kelimeler: fixed point, G-metric space, cyclic maps, cyclic contractions, PROXIMITY POINT
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.