Extended Horizontal Tensor Complementarity Problems
Optimization and Control
2025-04-11 v1
Abstract
In this paper, we study the nonemptiness, compactness, uniqueness, and finiteness of the solution set of a new type of nonlinear complementarity problem, namely the extended horizontal tensor complementarity problem (EHTCP). We introduce several classes of structured tensors and discuss the interconnections among these tensors. Consequently, we study the properties of the solution set of the EHTCP with the help of degree theory.
Keywords
Cite
@article{arxiv.2504.07925,
title = {Extended Horizontal Tensor Complementarity Problems},
author = {Sonali Sharma and V. Vetrivel},
journal= {arXiv preprint arXiv:2504.07925},
year = {2025}
}
Comments
25 pages, comments are welcome