  In this paper, we introduce set-valued tensor complementarity problem where
the elements of the involved tensors are defined based on a set-valued mapping.
We study several properties of the solution set under the framework of
set-valued mapping. We provide the necessary and sufficient conditions for the
zero solution of a set-valued tensor complementarity problem. We introduce
limit $R_0$-property for the set of tensors and establish a connection between
limit $R_0$-property and the level boundedness of the merit function of the
corresponding set-valued tensor complementarity problem.
