Science and Education Publishing American Journal of Mathematical Analysis 2333-8431 3 1 2015 01 27 Common Fixed Point Theorems for Two Self-maps in Cone Metric Spaces under Different Contractive Conditions 5 9 EN P. Rama Bhadra Murthy Department of Mathematics, University College of Science, Osmania University, Hyderabad, India M. Rangamma AJMA2015312 10.12691/ajma-3-1-2 2015 01 12 2015 01 19 2015 01 27 The existence of unique common fixed point theorems for two weakly compatible self-maps satisfying different contractive conditions in cone metric spaces without using normality.