  It is introduced and studied para-Ricci-like solitons with potential Reeb
vector field on almost paracontact almost paracomplex Riemannian manifolds. The
special cases of para-Einstein-like, para-Sasaki-like and having a
torse-forming Reeb vector field have been considered. It is proved a necessary
and sufficient condition the manifold to admit a para-Ricci-like soliton which
is the structure to be para-Einstein-like. Explicit examples are provided in
support of the proven statements.
