My first reaction is to say find another place to ride. Or, slow down to the point that you are almost at a walking pace, if you have not already done so when you come upon people on the path/road. Park users are under no obligation to get out of your way. I ride through a portion of the local watershed that is closed to motor vehicles on Saturdays and Sundays, but the road is 30 feet wide. On nice days there are a zillion people out there doing everything you can think of – dog walking, roller blading, kids on scooters – all dangerous to cyclists. I go through real slow and yell out my intentions to those who can't see me well in advance and pass with a wide margin. These people have every right to use the facilities without getting hit by a speeding cyclist. And, it is up to the cyclist to avoid them, not the other way around.