No idea, sorry, but would be surprised if they didn't, children are much more welcome in Fethiye than in the UK.
I remember once trying to take my children out in Brighton at about 8pm when they were about 15 and 11 and ending up having to go to Mc Donald's because most of the Weatherspoons, Yates type cheap pub food places had bouncers on the door and don't allow children in after 7pm!