There are 2 very famous shopping centers in Marbella:
La Cañada (La canada)

It has all the services you expect, plus an entire floor of fashion boutiques above and beyond your average shopping centre. In its more than 5000m2; you’ll find over 30 fashion and accessory stores: shoes, fashion jewellery, purses, belts, scarves, and of course, clothing. There are boutiques such as Armand Basi, as well as popular favourites such as Mango, Massimo Dutti, Dorothy Perkins, and Zara. You’ll also find the giant Alcampo supermarket, offering unbeatable products and prices. There are two floors, plus a parking garage for more than 300 vehicles.

Puerto Banús (Puerto Banus)

Puerto Banus has all types of shops and shopping centres. The marina offers many hops such as Luis Vuitton, Hugo Boss, Calvin Klien,  Dolce & Gabbana, Loewe , Christian Dior ,Karen Millen, Zara, Mango, Hermes and Puma.
All the shops in La Marina (The Marina) are spread along the sea front looking out over the harbour.( Ribero Street or Calle Ribero).

Puerto Banus also has a large department store, similar to Jon Lewis, called El Corte Ingles (www.elcorteingles.es ) where you can find EVERYTHING. It’s just opposite to La Marina Shopping Center, and have an excellent parking service.
If you want to use public transport to get to El Corte Inglés you won’t find problems, Buses stop at the ground floor with routes to Marbella from Fuengirola and Estepona and there is a Taxi rank outside the store.