Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces

Authors

N. Bilgili, Department of Mathematics, Faculty of Science, Gazi University, Ankara, Turkey\\ Department of Mathematics, Faculty of Science and Arts, Amasya University, Amasya, Turkey
ĺ. M. Erhan
E. Karapınar
D. Türkoğlu

Author Country (or Countries)

Turkey

Abstract

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.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080407

Recommended Citation

Bilgili, N.; M. Erhan, ĺ.; Karapınar, E.; and Türkoğlu, D. (2014) "Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces," Applied Mathematics & Information Sciences: Vol. 08: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.12785/amis/080407
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss4/7