Fixed Point Theory and Applications

, 2013:49

First online:

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Cyclic contractions via auxiliary functions on G-metric spaces

  • Nurcan BilgiliAffiliated withDepartment of Mathematics, Institute of Science and Technology, Gazi University
  • , Erdal KarapınarAffiliated withDepartment of Mathematics, Atilim University Email author 


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.

MSC: 47H10, 54H25.


fixed point G-metric space cyclic maps cyclic contractions