On some properties of set-valued tensor complementarity problem

2023/12/30 by R. Deb, A. K. Das, Deb, R. +1
Mathematics · Engineering · Computer Science · #Tensor decomposition and applications #Sparse and Compressive Sensing Techniques #Medical Image Segmentation Techniques

paper · pdf · doi:10.48550/arxiv.2401.00191

Abstract

In this paper, we introduce set-valued tensor complementarity problem where the elements of the involved tensors are defined based on a set-valued mapping. We study several properties of the solution set under the framework of set-valued mapping. We provide the necessary and sufficient conditions for the zero solution of a set-valued tensor complementarity problem. We introduce limit R₀-property for the set of tensors and establish a connection between limit R₀-property and the level boundedness of the merit function of the corresponding set-valued tensor complementarity problem.

Related

• On the solution set of semi-infinite tensor complementarity problem
• On some properties of ω-uniqueness in tensor complementarity problem
• Some properties of the solution of the vertical tensor complementarity problem
• Global Uniqueness and Solvability for Tensor Complementarity Problems
• On the properties of tensor complementarity problems