English

On the R$_0$-tensors and the solution map of tensor complementarity problems

Optimization and Control 2018-11-27 v1

Abstract

Our purpose is to investigate the local boundedness, the upper semicontinuity, and the stability of the solution map of tensor complementarity problems. To do this, we focus on the set of R0_0--tensors and show that this set plays an important role in the investigation. Furthermore, by using a technique in semi-algebraic geometry, we obtain some results on the finite-valuedness and the lower semicontinuity of the solution map.

Keywords

Cite

@article{arxiv.1807.00320,
  title  = {On the R$_0$-tensors and the solution map of tensor complementarity problems},
  author = {Vu Trung Hieu},
  journal= {arXiv preprint arXiv:1807.00320},
  year   = {2018}
}

Comments

20 pages

R2 v1 2026-06-23T02:47:17.991Z