Arafat was awarded the Nobel Peace Prize for his efforts to make peace in the middle east (as were Shimon Peres and Yitzhak Rabin), not for ceasing his political fight or for giving up his ambitions.
He said: "Peace is in our interest: as only in an atmosphere of just peace shall the Palestinian people achieve their legitimate ambition for independence and sovereignty."
Narges Mohammadi's fight is a peaceful one as well.