Copyright © 2009 Zead Mustafa et al. 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.
The purpose of this paper is to prove the existence of fixed points
of contractive mapping defined on -metric space where the completeness is
replaced with weaker conditions. Moreover, we showed that these conditions
do not guarantee the completeness of -metric spaces.