فهرست نشریات علمی دسترسی آزاد ایران

In this manuscript, we introduce the concept of generalized $\alpha \mathcal{T}$-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 $\alpha$-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  for $\alpha \mathcal{T}$-contractive mapping with the assistance of $\alpha$-permissible function.