Cyberpunk is a genre of science fiction set in a lawless subculture of an oppressive society dominated by computer technology. "Cyber" means technology and "punk" is the affect it has on human beings and the desire to rebel against technology even while using it.
I,robot is an example of cyberpunk. It is in the year 2035 and highly intelligent robots fill public service positions around the world. A human like robot was created and is believed to have murder his creator. Spooner the detective doesn't like these robots and discovers a conspiracy that will enslave the human race. He rebels by trying to kill all of the robots that are in the city. The "cyber" part are the robots and the "punk" is Spooner's resistance to technology and plan to kill all of the robots. In the end, Spooner works with a robot to balance technology and humanity.
In 1984, the government uses technology to monitor and control people's lives. Winston rebels against this by trying to find places where he can be alone with his thoughts and express his humanity.