eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2015-03-31 3 2 68 70 10.12691/ajams-3-2-4 AJAMS2015324 article K. Prudhvi prudhvikasani@rocketmail.com 1 Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India 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. http://pubs.sciepub.com/ajams/3/2/4/ajams-3-2-4.pdf coincidence point cone metric space common fixed point