On the R0-Tensors and the Solution Map of Tensor Complementarity Problems

On the R0-Tensors and the Solution Map of Tensor Complementarity Problems

Our purpose is to investigate several properties of the solution map of tensor complementarity problems. To do this, we focus on the R0-tensors and show some results on the local boundedness and the upper semicontinuity. Furthermore, by using a technique from semi-algebraic geometry, we obtain resul...

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Veröffentlicht in:Journal of optimization theory and applications 2019-04, Vol.181 (1), p.163-183
1. Verfasser: Hieu, Vu Trung
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Engineering
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Tensors
Theory of Computation
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Beschreibung
Zusammenfassung:Our purpose is to investigate several properties of the solution map of tensor complementarity problems. To do this, we focus on the R0-tensors and show some results on the local boundedness and the upper semicontinuity. Furthermore, by using a technique from semi-algebraic geometry, we obtain results on the finite-valuedness, the lower semicontinuity, and the local upper-Hölder stability of the map.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-018-1441-z