Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 493965, 11 pages
Some Common Fixed Point Results in Cone Metric Spaces
1Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, H-10, 44000 Islamabad, Pakistan
2Department of Mathematics, F.G. Postgraduate College, H-8, 44000 Islamabad, Pakistan
3Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy
Received 5 September 2008; Revised 26 December 2008; Accepted 5 February 2009
Academic Editor: Lech Górniewicz
Copyright © 2009 Muhammad Arshad 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.
We prove a result on points of coincidence and common fixed points
for three self-mappings satisfying generalized contractive type conditions in cone
metric spaces. We deduce some results on common fixed points for two self-mappings
satisfying contractive type conditions in cone metric spaces. These results generalize
some well-known recent results.