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We propose a new error bound for the solution of tensor complementarityproblem 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 theearlier version of error bound available in the literature. We establishabsolute 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.

Computation of a new error bound for tensor complementarity problem with P tensor