Question

suppose that T is a function so that T^K has a unique fixed point x* for some K>0. Show that x* is also the unique fixed point of T

Answer 1

function operation here is composition?

Answer 2

yes

Answer 3

i'm thinking of provinf that T^K is a contraction but don't know how to even prove it. If there's another way we can prove this, it'll be a great help