Abbas, MujahidAli, BashirSuleiman, Yusuf I.2016-03-072016-03-072015-05-06Abbas, M, Ali, B & Suleiman, YI 2015, 'Generalized coupled common fixed point results in partially ordered A-metric spaces', Fixed Point Theory and Applications, art. 64, pp. 1-24.1687-1820 (print)1687-1812 (online)10.1186/s13663-015-0309-2http://hdl.handle.net/2263/51706Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of a S-metric as a generalized metric in 3-tuples S : X3→[0,∞), where X is a nonempty set. The aim of this paper is to introduce the concept of an n-tuple metric A : Xn→[0,∞) and to study its basic topological properties. We also prove some generalized coupled common fixed point theorems for mixed weakly monotone maps in partially ordered A-metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.en© 2015 Abbas et al.; licensee Springer. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License.Coupled common fixed point2-Metric spacesD-Metric spacesD*-Metric spacesG-Metric spacesS-Metric spacesA-Metric spacesMixed weakly monotone mapsArticle