The significance of Light Yagami's rivalry with Near and Mello in the anime "Death Note" lies in the evolution of the battle of wits and ideologies between these three characters. Near and Mello are successors to L, the original antagonist to Light, and they represent different aspects of L's investigative genius. Near embodies L's analytical and logical approach, while Mello brings a more impulsive and aggressive attitude.
Their rivalry showcases the themes of power, justice, morality, and the consequences of playing god with the Death Note. It also highlights the lengths to which individuals will go to achieve their goals and the moral ambiguity present in the decisions made by each character.
Overall, the rivalry between Light, Near, and Mello adds depth to the storyline, intensifies the suspense, and challenges the audience to question their own beliefs about justice and the nature of good and evil.