The Horizontal Tensor Complementarity Problem
Optimization and Control
2023-12-05 v1
Abstract
This article explores a new type of nonlinear complementarity problem, namely the horizontal tensor complementarity problem (HTCP), which is a natural extension of the horizontal linear complementarity problem studied in [12]. We extend the concepts of R_0, R, and P pairs from a pair of linear transformations given in [9] to a pair of tensors. When a given pair of tensors has these properties, we use degree-theoretic tools to discuss the existence and boundedness of solutions to the HTCP. Finally, we study an uniqueness result of the solution of the HTCP.
Keywords
Cite
@article{arxiv.2312.01400,
title = {The Horizontal Tensor Complementarity Problem},
author = {Punit Kumar Yadav and Sonali Sharma and K. Palpandi},
journal= {arXiv preprint arXiv:2312.01400},
year = {2023}
}