In this talk, we study the dynamical behavior of hyperspace maps induced by continuous functions on dendrites. Our main goal is to show that if $X$ is a dendrite and $f : X \to X$ is a continuous map for which every point of $X$ is periodic, then the induced map [ 2^f : 2^X \to 2^X ] does not admit Li–Yorke pairs. To establish this result, we analyze two fundamental cases that capture the combinatorial structure of dendrites: closed intervals and trees.