Some Properties of the Solution of the Extended Vertical Tensor Complementarity Problem

In this paper, we introduce the extended vertical tensor complementarity problem and investigate the existence and uniqueness of its solution. We introduce several sets of special tensors and demonstrate their properties. We leverage the structure of tensors to obtain some properties of the solution of the extended vertical tensor complementarity problem. Furthermore, we use degree theory and the equivalent form of the minimum function to establish sufficient conditions for the existence and uniqueness of the solution of the extended vertical tensor complementarity problem, respectively.