TY - JOUR
T1 - The Generalized Order Tensor Complementarity Problems
AU - Che , Maolin
AU - Qi , Liqun
AU - Wei , Yimin
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 131
EP - 149
PY - 2019
DA - 2019/12
SN - 13
DO - http://doi.org/10.4208/nmtma.OA-2018-0117
UR - https://global-sci.org/intro/article_detail/nmtma/13434.html
KW - Generalized order tensor complementarity problems, tensor complementarity problems, structured tensors, degree theory.
AB - <p style="text-align: justify;">The main propose of this paper is devoted to studying the solvability of the generalized order tensor complementarity problem. We define two problems: the generalized order tensor complementarity problem and the vertical tensor complementarity problem and&nbsp; show that the former is equivalent to the latter. Using the degree theory, we present a comprehensive analysis of existence, uniqueness and stability of the solution set of a given generalized order tensor complementarity problem.</p>