Abstract In this paper, we introduce the concept of $(\alpha, \psi, \xi )-G$-contractive mappings in a metric space endowed with a directed graph $G$.
We investigate the existence and uniqueness of points of coincidence and common fixed points for such mappings under some conditions.
Our results extend and generalize several well-known comparable results in the literature. Some examples are provided to justify the validity of our results. ![Creative Commons License](https://i.creativecommons.org/l/by/4.0/80x15.png)
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