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) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1812-2013-49
  • Journal Name: FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: fixed point, G-metric space, cyclic maps, cyclic contractions, FIXED-POINT THEOREMS, G-MONOTONE PROPERTY, PROXIMITY POINTS, GENERALIZED CONTRACTIONS, MAPPINGS, MAPS
  • Gazi University Affiliated: Yes

Abstract

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.