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On the R-tensors and the solution map of tensor complementarity problems
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--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.Comment: 20 page