Common fixed points for ($ kappa _{G_{m}} $)-contractions with applications

Common fixed points for ($ kappa _{G_{m}} $)-contractions with applications

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In this publication, our objective was la rams crop top to introduce and establish the concepts of $ kappa _{G_{m}} $-contraction and generalized $ (alpha, kappa _{G_{m}}) $-contraction in complete $ G_{m} $-metric spaces, which led to the discovery of novel fixed points, cashel tail bag coincidence points, and common fixed points.Additionally, we demonstrated the usefulness of our main results by applying it to the investigation of the integral equation.Also, we presenting a noteworthy example demonstrating the practicality of our primary hypothesis.