Solution maps of polynomial variational inequalities

2018/07/01 by Hieu, Vu Trung
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1807.00321

Abstract

In this paper, we investigate several properties of the solution maps of variational inequalities with polynomial data. First, we prove some facts on the R₀-property, the local boundedness, and the upper semicontinuity of the solution maps. Second, we establish results on the solution existence and the local upper-Hölder stability under the copositivity condition. Third, when the constraint set is semi-algebraic, we discuss the genericity of the R₀-property and the finite-valuedness of the solution maps.

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