Abstract
In this paper, we define $$\mathcal {JHR}$$ -operator pairs in a $$C^{*}$$ -algebra-valued modular metric space. Next, by using $$C_{*}$$ -class functions, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of nonlinear integral equations.
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