A fuel injection valve injects a fuel into the combustion chamber or into the injection port of an internal combustion engine, the valve being actuated by an actuator assembly that includes a small displacement actuator and a large displacement actuator. The method includes commanding the small displacement actuator to move the valve member to a first open position corresponding to a first flow area and commanding the large displacement actuator to move the valve member to a second open position corresponding to a second flow area that is larger than the first flow area such that the ratio between the second flow area and the first flow area is at least 15:1. The fuel injection valve can also be operated to alternatively inject two different fuels, one of the fuels being a gaseous fuel and the other one being a liquid fuel.