International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 675094, 11 pages
http://dx.doi.org/10.1155/2012/675094
Research Article

Property P and Some Fixed Point Results on ( 𝜓 , 𝜙 ) -Weakly Contractive G-Metric Spaces

Mona Khandaqji,1 Sharifa Al-Sharif,2 and Mohammad Al-Khaleel2

1Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
2Department of Mathematics, Yarmouk University, P.O. Box 566, Irbid 21163, Jordan

Received 22 March 2012; Accepted 6 June 2012

Academic Editor: Charles Chidume

Copyright © 2012 Mona Khandaqji 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.

Abstract

We prove some fixed point results for ( 𝜓 , 𝜙 ) -weakly contractive maps in G-metric spaces, we show that these maps satisfy property P. The results presented in this paper generalize several well-known comparable results in the literature.