Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 643840, 13 pages
doi:10.1155/2009/643840
Common fixed point theorems for weakly compatible pairs on cone metric spaces
G. Jungck1
, S. Radenović2
, S. Radojević2
and V. Rakočević4
1Department of Mathematics, Bradley University, Peoria, IL 61625, USA
2Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
4Department of Mathematics, Faculty of Science and Mathematics, University of Ni {s}, Vi {s}egradska 33, 18 000 Ni {s}, Serbia
Abstract
We prove several fixed point theorems on cone metric spaces in which the cone does not need to be normal. These theorems generalize the recent results of Huang and Zhang (2007), Abbas and Jungck (2008), and Vetro (2007). Furthermore as corollaries, we obtain recent results of Rezapour and Hamlborani (2008).