Some Fixed Point Theorems In Cone Rectangular Metric Spaces

Abstract

We establish new fixed point theorems in cone rectangular metric spaces. The presented theorems generalize, extend and improve some existing results in the literature including the results of M. Jleli and B. Samet (2009), A. Azam and M. Arshad (2008), S. Moradi (2009), L.G. Huang and X. Zhang (2007), Sh. Rezapour and R. Hamlbarani (2008), I. Sahin and M. Telci (2009), and others. In all our results, we dispense with the the normality assumption which is a characteristic of most of the previous results.