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

Vu Trung Hieu ()
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Vu Trung Hieu: Phuong Dong University

Journal of Optimization Theory and Applications, 2019, vol. 181, issue 1, No 8, 163-183

Abstract: Abstract 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.

Keywords: Tensor complementarity problem; R0-tensor; Semi-algebraic set; Solution map; Finite-valuedness; Local boundedness; Upper semicontinuity; Lower semicontinuity; Local upper-Hölder stability; 90C33; 90C31; 14P10; 54C60 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-018-1441-z

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