### Abstract:

Sedghi 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.