No abstract

No abstract

No abstract

No abstract

As a natural extension of the linear complementarity problem, the tensor complementarity problem has been studied recently; and many theoretical results have been obtained. In this paper, we investigate the global error bound for the tensor complementarity problem with a P-tensor. We give two global error bounds for this class of complementarity problems with the help of two positively homogeneous operators defined by a P-tensor. When the order of the involved tensor reduces to 2, the results obtained in this paper coincide exactly with the one for the linear complementarity problem. for some positive constants c 1 , c 2 , γ 1 and γ 2 , where r 1 and r 2 are two residual functions for the LCP (M, q), and dist(x, S) is the distance from the vector x to the set S. If T = R n , then (1) is called a global error bound for the LCP (M, q). The error bound has been studied extensively for the LCP (M, q).