Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 189870, 12 pages
doi:10.1155/2008/189870
Research Article

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

Zead Mustafa, Hamed Obiedat, and Fadi Awawdeh

 Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan
Received 1 April 2008; Accepted 10 July 2008

Recommended by Brailey Sims

Abstract

We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space (X,dG), where (X,dG) is the usual metric space which defined from the G-metric space (X,G).