Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
Copyright © 2010 W. Shatanawi. 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 self-mapping in a complete
-metric space under some contractive conditions related to a nondecreasing map
for all . Also, we prove
the uniqueness of such fixed point, as well as studying the -continuity of such fixed point.