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In this paper, we use the notion of a mixed weakly monotone pair of maps of Gordji et al. (Fixed Point Theory Appl. 2012:95, 2012) to state a coupled common fixed point theorem for maps on partially ordered S-metric spaces. This result generalizes the main results of Gordji et al. (Fixed Point Theory Appl. 2012:95, 2012), Bhaskar, Lakshmikantham (Nonlinear Anal. 65(7):1379-1393, 2006), Kadelburg et al. (Comput. Math. Appl. 59:3148-3159, 2010) into the structure of S-metric spaces.

On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces