While slowly turning into a parking space at approximately 1 mph (?) the vehicle unexpectedly accelerated. The vehicle mounted the curb, and struck a a parked car and hit a brick retaining wall, causing damage to both. This all happened within a few seconds and there were no warning lights or messages before or during the accident. I was not injured and there were no other people present. The police were called and inspected the damages. The insurance company was contacted due to damages. No one was in the parking lot at the time. The manufacturer was notified and will inspect the car for cause/failure.