I finally solve my problem :
The mapping method in the controller should be
let json : AnyObject! = NSJSONSerialization.JSONObjectWithData(data, options: NSJSONReadingOptions.MutableContainers, error: &error)
if (error != nil) {
return completionHandler(nil, error)
} else {
var customer = Mapper<Customer>().mapArray(json)! //Swift 2
var customer = Mapper<Customer>().mapArray(JSONArray: json)! //Swift 3
}
If it can help someone.