From the Airport it is possible to take a train to Fuengirola (end of the line) for about 2 Euros.

Train Times (in Spanish)

On leaving the train station walk down the road opposite which leads to the beach and the bus terminus is on the left hand side. There are also taxis located here.

From Fuengirola a taxi to the apartment costs about 20 Euros and a bus costs approximately 1.20 Euros. The bus tickets need to be purchased from the kiosk.

The number 220 bus runs from Fuengirola to Marbella every 30 minutes although not always according to the time table.