Try Saman in Paspatur, it's in the first Entrance on the one way street which has the change office on the corner. A few shops up on the right, opposite the small cafe.
They have some very good leather bags, which they have made especially for the shop. We bought a very nice one in there which was lovely soft leather and extremely well made for £65.00. I know the fake shops charge around £140 for leather bags of a the same size, but not as good a quality.
They also have lovely jewellery and clothes. I now have about 35 of their bracelets I cannot resist them.
I would also say, keep an eye of Outlet Websites such as Secret Sales and the Outnet (Net a Porter's own site). They often have real designer bags, shoes, clothes, jewellery at bargain sale prices. Even Net a Porter have a sale on at the moment. Last year I bought a lovely Moschino Bag which was in soft cream leather and was only £99.00. The original price was over £400.00. You need to be quick and you have to register with the sites so they email you and let you know when the sales are on.
I know shops like Maya in Fethiye charge up to £400 for fake designer bags.