One might argue that the central conflict in Ralph Ellison's "Battle Royal" (the first chapter of Invisible Man) is actually an internal conflict within the narrator. Indeed, there is plenty of conflict in the piece, between the narrator and the white society that oppresses him, among the narrator and the other "boys" who fight with him, and even between the narrator and his grandfather. But the most important conflict is between the narrator and his own self-respect.
Deep down, the narrator knows that his submissiveness toward his white neighbors, his speech about humility, and his desire to remain firmly "in his place" are wrong. His grandfather's dying words suggest that, for his grandfather calls himself a traitor. Although the narrator never explains whom his grandfather is betraying, we get the idea that he is betraying himself through his own meekness (even though the grandfather thinks that this black submissiveness will eventually somehow overcome white oppression).
Still, the narrator goes along acting a part, giving a speech that wins the approval of his white neighbors with its emphasis on black humility, obeying even the most violent and cruel orders during the "fight," and refusing to stand up for himself. He even gives his speech to the jeering audience, standing there bloody from the fight, yet still obeying every word. He is even pleased with his prize, a scholarship to a Black college.
Yet somewhere inside him, the narrator continues to struggle. His slip during his speech when he substitutes the word "equality" for "responsibility" suggests that, as does his horror at what these white men are forcing him to do. He knows it is not right, yet he feels trapped and doesn't know the way out. So he pushes back his conscience and betrays himself by obeying submissively, because it is what is expected of him.
The narrator's dream at the end of the story also reveals his inner conflict. His grandfather's words in the dream show that the narrator knows that he, too, has turned into a traitor against himself through his obedience and that he, too, has entered into an endless cycle of submission and an endless struggle with himself that will be difficult to overcome.