eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2019-01-21 7 2 52 58 10.12691/ajams-7-2-1 AJAMS2019721 article Fixed Point Theorem for Non-self Mapping in Cone Metric Space B. Geethalakshmi geetha.journal123@gmail.com 1 R. Hemavathy 2 Ɗeparţment of Mathematics, Dr. M.G.R. Educational Research& Institute, Maduravoyal, Chennai -95, India Ɗeparţment of Mathematics, Queen Mary's College, (Autonomous), Chennai-4, UK In this paper, we prove a common fixed point theorem for coincidentally commuting non-self mappings for a generalized contraction condition in cone b-metric space. http://pubs.sciepub.com/ajams/7/2/1/ajams-7-2-1.pdf cone b-metric space common fixed point non-self mapping coincidentally commuting coincidentally point