Odysseus has to hold himself back from acting impulsively many times. This conflict is man vs. self. This is shown when he refrains from killing the cyclops the first time to save him and his men. It is also shown when he has to keep himself from yelling at the cyclops again on the ship
The Cyclops, Polyphemus, keeps eating Oysseus' men. This conflict is man vs. the supernatural. Odysseus is trying to save his men from the Cyclops, but he can't. This is also shown when the Cyclops throws the boulder at the ship.
They escape Polyphemus and get back to their ship. Odysseus taunts him from the ship and he angrily throws a boulder into the water, nearly sinking the ship. However, Odysseus doesn't stop taunting him until his crew begs him to. This is man vs. man conflict.