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

Vu Trung Hieu

doi:10.1007/s10957-018-1441-z

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arXiv · 1807.00320

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

Vu Trung Hieu

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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 R$_0$--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.

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Vu Trung Hieu. 2018-07-01. On the R$_0$-tensors and the solution map of tensor complementarity problems. https://doi.org/10.1007/s10957-018-1441-z

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