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