Science and Education Publishing American Journal of Mathematical Analysis 1 1 2013 04 23 Common Fixed Points in Cone Metric Spaces 25 27 EN K. Prudhvi Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Andhra Pradesh, India. AJMA2013122 10.12691/ajma-1-2-2 2013 02 10 2013 04 22 2013 04 23 In this paper, we prove a unique common fixed point theorem in cone metric spaces without appealing to commutativity conditions. These results generalize several well-known comparable results in the literature.