Answer:
I think don't think there is any similarities but to guess is they both use oil and fat(or at the food does) to cover some part of the food.
Step-by-step explanation:
For shallow frying, the oil / fat covers only the lower part of the food in contact with the vessel. For deep frying, the oil / fat covers the food completely, i.e. the food is completely immersed in the oil / fat.