16 citations
4 papers
On the solution existence and stability of polynomial optimization problems
Vu Trung Hieu
This paper introduces and investigates a regularity condition in the asymptotic sense for optimization problems whose objective functions are polynomial. Under this regularity cond…
On the R-tensors and the solution map of tensor complementarity problems
Vu Trung Hieu
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…
Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities
Vu Trung Hieu
In this paper, we investigate the topological structure of solution sets of monotone vector variational inequalities. We show that if the weak Pareto solution set of a monotone vec…
Numbers of the connected components of the solution sets of monotone affine vector variational inequalities
Vu Trung Hieu
This paper establishes several upper and lower estimates for the maximal number of the connected components of the solution sets of monotone affine vector variational inequalities.…