Explanation:
The Cyclops invites Odysseus back to the island because he wants to exact revenge on him for blinding him. The Cyclops is angry that Odysseus and his men have blinded him, so he wants to capture them and eat them. However, when Odysseus returns to the island and reveals his name to the Cyclops, the Cyclops remembers the prophecy that he would be blinded by someone named Odysseus. The Cyclops realizes that Odysseus is the fulfillment of the prophecy and decides to let him and his men go, hoping that they will be punished by the gods.