Cyclic contractions via auxiliary functions on G-metric spaces

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Bilgili N., KARAPINAR E.

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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1812-2013-49
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: fixed point, G-metric space, cyclic maps, cyclic contractions, FIXED-POINT THEOREMS, G-MONOTONE PROPERTY, PROXIMITY POINTS, GENERALIZED CONTRACTIONS, MAPPINGS, MAPS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings via auxiliary functions in the context of G-metric spaces, which were introduced by Zead and Sims. In particular, we extend, improve and generalize some earlier results in the literature on this topic.