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math.OC2020
An existence result for weakly homogeneous variational inequalities
Meng-Meng Zheng, Zheng-Hai Huang
In this paper, what we concern about is the weakly homogeneous variational inequality over a finite dimensional real Hilbert space. We achieve an existence result {under} copositiv…
math.OC2020
Unique solvability of weakly homogeneous generalized variational inequalities
Xueli Bai, Zheng-Hai Huang, Mengmeng Zheng
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvabilit…
math.OC2020
T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming
Meng-Meng Zheng, Zheng-Hai Huang, Yong Wang
The T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce the first-order and second-order T-derivatives for the multi-ve…