Abstract
In this paper, we extend the notion of weakly commuting mappings results in modular metric spaces to setting of modular ωG-metric spaces and prove the existence of unique common fixed point of three pairs of weakly commuting self-maps in modular ωG-metric spaces. Moreover, we apply our results in solving certain nonlinear three dimensional integral equations. The results proved in this paper extend, improve and generalize several existing results.
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