On some properties of ω-uniqueness in tensor complementarity problem

Article Type

Research Article

Publication Title

Indian Journal of Pure and Applied Mathematics

Abstract

In this article, we introduce column adequate tensor in the context of tensor complementarity problem and consider some important properties. The tensor complementarity problem is a class of nonlinear complementarity problem with the involved function being defined by a tensor. We establish the inheritance property and invariance property of column adequate tensors. We study TCP(q,A) in the frame of LCP(q¯,A¯). We show that TCP(q,A) has ω-unique solution under some assumptions.

DOI

10.1007/s13226-025-00853-y

Publication Date

1-1-2025

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