  In this paper, the Darboux transformation (DT) of the reverse space-time
(RST) nonlocal short pulse equation is constructed by a hodograph
transformation and the eigenfunctions of its Lax pair. The multi-soliton
solutions of the RST nonlocal short pulse equation are produced through the DT,
which can be expressed in terms of determinant representation. By taking
different values of eigenvalues, bounded soliton solutions and unbounded
soliton solutions can be obtained. In addition, based on the degenerate Darboux
transformation, the $N$-positon solutions of the RST nonlocal short pulse
equation are computed from the determinant expression of the multi-soliton
solution. Furthermore, different kinds of mixed solutions are also presented,
and the interaction properties between positons and solitons are investigated.
