If you look at all the usual services (Travel Republic etc.) they will do a shuttle. Alternatively you could get the local train to Fuengirola and a taxi from there.
I go to my timeshare at the Riviera del Sol each year.
My normal procedure is to get the train to Fuengirola and then a taxi from the station as overall it's much cheaper. Costs the train fare + taxi which is about 35 euros.
You can catch the bus from Fuengirola to all resorts but I've not tried this.
Train and bus is by far the cheapest ,and quite easy
Do you know if the buses run as regularly on a Sunday please?
We use Malaga Airport Transfers , an Irish/British company for the last 8 years. We go to Riveria del Sol as well. Very professional and friendly. Very reasonable for the service you receive. Never had a problem.Edited: 20 May 2018, 00:59