City centre is always specified for families on Fridays and Holidays 10Am to 10PM. In Landmark, Lulu, Hayat Plaza I didn't see any such a thing. Villagio, sometime they allow, sometimes not, I didn't realize the behaviour of Security there.
One thing I noticed, even in City Centre or Villagio, Locals are always allowed, as nobody can dare to stop them even. But if you are well dressed, the security will not stop you.