International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 283028, 10 pages
doi:10.1155/2009/283028
Research Article

Existence of Fixed Point Results in G-Metric Spaces

Zead Mustafa,1 Wasfi Shatanawi,1 and Malik Bataineh2

1Department of Mathematics, The Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
2Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan

Received 8 February 2009; Accepted 26 May 2009

Academic Editor: Andrei Volodin

Copyright © 2009 Zead Mustafa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on G-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of G-metric spaces.