eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-12-23 5 6 230 239 10.12691/tjant-5-6-5 TJANT2017565 article Mumtaz Ali mumtaz6767@yahoo.com 1 Muhammad Arshad 1 Department of Mathematics, International Islamic University, Islamabad, Pakistan In this paper we study and generalize some common fixed point theorems in compact and Hausdorff spaces for a pair of commuting mappings with new contraction conditions. The results presented in this paper include the generalization of some fixed point theorems of Fisher, Jungck, Mukherjee, Pachpatte and Sahu and Sharma. http://pubs.sciepub.com/tjant/5/6/5/tjant-5-6-5.pdf contraction mapping fixed point compact metric space