  It has been known for quite some time that the N=4 super Yang-Mills equations
defined on four-dimensional Euclidean space are equivalent to certain
constraint equations on the Euclidean superspace R^(4|16). In this paper we
consider the constraint equations on a deformed superspace R^(4|16)_\hbar a la
Seiberg and derive the deformed super Yang-Mills equations. In showing this, we
propose a super Seiberg-Witten map.
