论文标题
垂直张量互补性问题的解决方案的某些特性
Some properties of the solution of the vertical tensor complementarity problem
论文作者
论文摘要
在本文中，我们主要关注垂直张量互补问题的存在和独特性。首先，将垂直张量互补性问题结合起来，将广义 - 线性互补问题与张量互补问题结合在一起。其次，我们定义了一些特殊张量，并说明了包容关系。最后，我们表明，垂直张量互补问题的解决方案集在某些条件下是有限的，并且从学位理论的角度和最小函数的相等形式的角度获得了一些足够的条件，以实现垂直张量互补问题的存在和独特性。
In this paper, we mainly focus on the existence and uniqueness of the vertical tensor complementarity problem. Firstly, combining the generalized-order linear complementarity problem with the tensor complementarity problem, the vertical tensor complementarity problem is introduced. Secondly, we define some sets of special tensors, and illustrate the inclusion relationships. Finally, we show that the solution set of the vertical tensor complementarity problem is bounded under certain conditions, and some sufficient conditions for the existence and uniqueness of the solution of the vertical tensor complementarity problem are obtained from the view of the degree theory and the equal form of the minimum function.
