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In this paper, we equip a C*-algebra-valued b-metric spaces with a graph G =(V,E) and establish some common fixed point theorems. Also, some examples insupport of our main results are provided. Finally, as applications, existenceand uniqueness of solution for a type of operator equation and an integralequation are discussed.

Common fixed point theorems in C*-algebra-valued b-metric spaces endowed with a graph and applications