| Summary: | In this paper, we initiate the notion of Ćirić type rational graphic <inline-formula> <math display="inline"> <semantics> <mfenced separators="" open="(" close=")"> <mi mathvariant="sans-serif">Υ</mi> <mo>,</mo> <mo>Λ</mo> </mfenced> </semantics> </math> </inline-formula>-contraction pair mappings and provide some new related common fixed point results on partial <i>b</i>-metric spaces endowed with a directed graph <i>G</i>. We also give examples to illustrate our main results. Moreover, we present some applications on electric circuit equations and fractional differential equations.
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