It could be extremely dangerous. The sun is very hot in Antalya. You should at least make sure your 3 year old has sun cream and maybe a hat to keep the sun off them.

If it gets too hot I would suggest you try a Turkish ice cream called Mado (similar to Italian gelato), or maybe a cool drink.

Also be warned that the 3 year old might get a lot of attention and people may give him sweets or soft drinks, particularly ice cream vendors or resort bar staff. This could be extremely dangerous as he'll be spoilt rotten. Most Turks absolutely love kids.

If you think you can cope with these risks then you'll be fine, but I'd understand if you decide to reconsider :)