* King Hamlet is the deceased king of Denmark, murdered by his brother Claudius.
* Fortinbras is the Prince of Norway, whose father was killed by King Hamlet in a battle.
While their names are connected through the events of the play, they never directly engage in combat.
Here's how their stories are related:
* Fortinbras's father was killed by King Hamlet.
* Fortinbras initially plans to reclaim the land his father lost, but is dissuaded by Hamlet's father's ghost.
* King Hamlet's ghost reveals that Claudius murdered him, setting in motion the events of the play.
* Fortinbras eventually returns, but not to fight against Hamlet's family. He takes over the throne of Denmark after Hamlet, Horatio, and Laertes all die.
Therefore, there is no fight between King Hamlet and Fortinbras. Their stories are interconnected through the events of the play, but they are ultimately adversaries only indirectly.