  Some basic properties of Hom-Leibniz algebras are found. These properties are
the Hom-analogue of corresponding well-known properties of Leibniz algebras.
Considering the Hom-Akivis algebra associated to a given Hom-Leibniz algebra,
it is observed that the Hom-Akivis identity leads to an additional property of
Hom-Leibniz algebras, which in turn gives a necessary and sufficient condition
for Hom-Lie admissibility of Hom-Leibniz algebras. A necessary and sufficient
condition for Hom-power associativity of Hom-Leibniz algebras is also found.
