Tensor Complementarity Problem and Semi-positive Tensors

In this paper, we prove that a real tensor is strictly semi‐positive if and only if the corresponding tensor complementarity problem has a unique solution for any nonnegative vector and that a real tensor is semi‐positive if and only if the corresponding tensor complementarity problem has a unique solution for any positive vector. It is shown that a real symmetric tensor is a (strictly) semi‐positive tensor if and only if it is (strictly) copositive.