My question is whether I can connect my PlayStation 3 and my laptop to a screen and can use them at the same time, so I have the laptop screen small in the corner and play next to a game on the ps3 is this possible?
Yes there's a function that allows you to use multiple images or windows on one screen. It is called PIP (Picture in Picture) is a function of screens that not every screen has.
It is best to inform yourself about monitors that have PIP function. There's also how to activate them or which functions then do not work such as. 3D
However, I have to tell you that at PIP when you play a game and by the way a stream runs it looks artificial and in my opinion it is better to get a cheap second monitor which costs around 70 euro and is sufficient for this use.