Abbas, MujahidAli, BashirSuleiman, Yusuf I.2017-06-102017-06-102016-12Abbas, M., Ali, B. & Suleiman, Y.I. Unification of several distance functions and a common fixed point result. Fixed Point Theory and Applications (2016) 2016: 6. doi:10.1186/s13663-015-0494-z.1687-1820 (print)1687-1812 (online)10.1186/s13663-015-0494-zhttp://hdl.handle.net/2263/61014In this work, we initiate the notions of dislocated-Ab-quasi-metric and Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point of weakly compatible mappings satisfying a contractive condition on a closed neighborhood of dislocated Ab-quasi-metric spaces. Some examples are given to show that these spaces are more general than various known comparable metric spaces. Our result unify, complement, and generalize various known results in the literature.en© 2016 Abbas et al. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License.Dislocated-quasi-metric spacesA-metric spacesCoincidence pointsFixed pointsWeakly compatible mappingsUnification of several distance functions and a common fixed point resultArticle