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 to introduce and establish the concepts of Doormat Couple Card $ 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, coincidence points, and common fixed points.Additionally, we demonstrated Food Storage 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.