In this paper, a nonlinear version of the Extrapolation Theorem is proved and, as a corollary, a nonlinear version of Grothendieck’s Theorem is presented. Finally, we prove that if
T
:
X
→
H
T:X\to H
is Lipschitz with
X
X
being a pointed metric space and
T
(
0
)
=
0
T(0)=0
such that
T
#
|
H
∗
T^\#|_{H^*}
is
q
q
-summing
(
1
≤
q
>
∞
)
(1\le q>\infty )
, then
T
T
is Lipschitz 1-summing.