Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 3 2 2015 03 31 Common Fixed Point Theorem in Cone Metric Spaces 68 70 EN K. Prudhvi Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India AJAMS2015324 10.12691/ajams-3-2-4 2015 02 22 2015 03 22 2015 03 31 In this paper, we study the existence of coincidence points and a unique common fixed point theorem for three self-mappings in cone metric spaces, where the cone is not necessarily normal. This result extends and improves recent related results in the literature.