Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 917175, 10 pages
doi:10.1155/2009/917175

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

Zead Mustafa1 and Brailey Sims2

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

Abstract

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.