Common Fixed Point Theorems of Generalized Contraction / Zamfirescu Pair of maps in Cone metric spaces

We prove the existence of common xed points of a generalizedcontraction / Zamrescu pair of maps in a complete cone metric space. Ourresults generalize the results of Huang anf Zhang [L-G. Huang, X. Zhang:Cone metric spaces and xed point theorems of contractive mappings, J. Math.Anal. Appl. 332 (2007) 1468{1476] and extend the results of Rezapour andHamlbarani [Sh. Rezapour, R. Hamlbarani: Some notes on the paper Conemetric spaces and xed point theorems of contractive mappings", J. Math.Anal. Appl. 345 (2008) 719{724].