Abstract

As a natural extension of the tensor complementarity problem, the vertical tensor complementarity problem \(\left( {\textrm{VTCP}}\right) \) has important research value. In this paper, we get some properties of the solution of the VTCP. Furthermore, we focus on investigating the global error bound for the VTCP with the type \({\textrm{VP}}\) tensor set. We define two positively homogeneous operators by the type \({\textrm{VP}}\) tensor set and obtain two global error bounds of the VTCP through the positively homogeneous operators.

中文翻译：

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垂直张量互补问题的全局误差界

摘要

作为张量互补问题的自然延伸，垂直张量互补问题\(\left( {\textrm{VTCP}}\right) \)具有重要的研究价值。在本文中，我们得到了VTCP解的一些性质。此外，我们重点研究具有\({\textrm{VP}}\)张量集类型的 VTCP 的全局误差界限。我们通过\({\textrm{VP}}\)类型张量集定义两个正齐次算子，并通过正齐次算子获得VTCP的两个全局误差界。