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