  In the 1990s, Kempf and his collaborators Mangano and Mann introduced a
$D$-dimensional $(\beta,\beta')$-two-parameter deformed Heisenberg algebra
which leads to an isotropic minimal length $(\triangle
X^{i})_{min}=\hbar\sqrt{D\beta+\beta'}\;,\forall i\in \{1,2, \cdots,D\}$. In
this work, the Lagrangian formulation of a magnetostatic field in three spatial
dimensions $(D=3)$ described by Kempf algebra is presented in the special case
of $\beta'=2\beta$ up to the first order over $\beta$. We show that at the
classical level there is a similarity between magnetostatics in the presence of
a minimal length scale (modified magnetostatics) and the magnetostatic sector
of the Abelian Lee-Wick model in three spatial dimensions. The integral form of
Ampere's law and the energy density of a magnetostatic field in the modified
magnetostatics are obtained. Also, the Biot-Savart law in the modified
magnetostatics is found. By studying the effect of minimal length corrections
to the gyromagnetic moment of the muon, we conclude that the upper bound on the
isotropic minimal length scale in three spatial dimensions is
$4.42\times10^{-19}m$. The relationship between magnetostatics with a minimal
length and the Gaete-Spallucci non-local magnetostatics (J. Phys. A: Math.
Theor. \textbf{45}, 065401 (2012)) is investigated.
