On common fixed points for Geraghty contraction mappings and an application to integral equations, Про спільні нерухомі точки для стискаючих відображень типу Гераті та застосування до інтегральних рівнянь

<jats:p>In this paper, few common fixed point theorems for Geraghty-type contractions are established in $G_r$-complete fuzzy $b$-metric spaces. Moreover, an example is constructed to authenticate the main result. Ultimately, an application of the results is obtained by exhibiting the existence of a solution for an integral equation.</jats:p>