The R9 380 is quite faster than the 1050TI. The 1050TI is basically a new GTX 960, with lower starting price, lower power consumption and a bit better in some games.
But if you want the closest to that performance the R9 380 would fit the bill and be a quite better in many games as well. The issue is power consumption if that is a big worry for you, it can draw up to 150W, while the 1050ti is around 80W at max.