coincidence and common fixed point theorems for generalized αt-contraction via tri-simulation function with an application

In this manuscript, we introduce the concept of generalized αt-contractive pair of mappings with the assistance of a tri-simulation function and use this concept to establish some coincidence and common fixed point theorems via α-permissible mapping. we also give an illustrative example which yields the main result. also, many existing results in the frame of metric spaces are established. we also apply our main theorem to derive coincidence and common fixed point results αt-contractive mapping with the assistance of α-permissible function.