eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2017-09-07 5 3 112 114 10.12691/ajams-5-3-5 AJAMS2017535 article K. Prudhvi 1 Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India In this paper, we obtain coincidence points and common fixed point theorem for four self-mappings via weakly compatible mappings in cone metric spaces, where the cone is not necessarily normal. These results are improved and generalized several well- known comparable results existing in the references. http://pubs.sciepub.com/ajams/5/3/5/ajams-5-3-5.pdf cone metric space common fixed point coincide point