Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 917175, 10 pages
Research Article

Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces

1Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan
2School of Mathematical and Physical Sciences, The University of Newcastle, NSW 2308, Australia

Received 31 December 2008; Accepted 7 April 2009

Academic Editor: Hélène Frankowska

Copyright © 2009 Zead Mustafa and Brailey Sims. 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.


We prove some fixed point results for mappings satisfying various contractive conditions on Complete G-metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are G-continuous on such fixed points.