Your car looks like it has been lowered and it has after market wheels. So there is a couple things that could be cause the rubbing. One, the offset on the wheels, lower the offset means the more it moves the wheels towards the outside of the car and closer to your fenders. Second, the tires, if they are larger/wider, again rubbing may happen. A solution for either of those is rolling the fenders.
The suspension may not have been lowered properly, if the previous owner only swapped springs (or cut the stock ones) that will cause the shocks/dampers to wear out much faster. So if they arent doing their job, you will be more likely to bounce around and rub. Take a picture of your springs/shocks, some one should be able to recognize them.
Here is a picture for you:
Also, once you go lower, rubbing is bound to happen.