International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 283028, 10 pages
doi:10.1155/2009/283028
Existence of Fixed Point Results in G-Metric Spaces
Zead Mustafa1
, Wasfi Shatanawi1
and Malik Bataineh3
1Department of Mathematics, The Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
3Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan
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.