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In this paper, we state and prove common fixed point theorems for four mappings f; g; S and T satisfying a nonlinear contractive condition in ordered metric spaces, where the mappings f and g are dominating and weak annihilators of the mappings T and S respectively. In this regard, we will utilize the notion of C-class function, following the technique of Shatanawi and Postolache [Fixed Point Theory Appl. 2013:271 (2013)]. Also, we introduce an example to support the useability of our results. [ABSTRACT FROM AUTHOR]