A function f: X -> Y is Lipschitz continuous if and only if there is a constant K > 0 such that d_Y(f(x),f(y)) ≤ Kd_X(x,y) for all x,y in X.
A function f: X -> Y is Lipschitz continuous if and only if there is a constant K > 0 such that d_Y(f(x),f(y)) ≤ Kd_X(x,y) for all x,y in X.