  We propose a new error bound for the solution of tensor complementarity
problem TCP$(q, \mathcal{A})$ given that $\mathcal{A}$ is a $P$-tensor and $q$
is a real vector. We show that the proposed error bound is sharper than the
earlier version of error bound available in the literature. We establish
absolute and relative error bound for TCP$(q, \mathcal{A})$ where $\mathcal{A}$
is an even order positive diagonal tensor.
  Keywords: Tensor complementarity problem, $P$-tensor, global error bound,
positively homogeneous operator.
