Abstract
In this paper, we introduce and study a new class of differential set-valued inverse variational inequalities in finite dimensional spaces. By applying a result on differential inclusions involving an upper semicontinuous set-valued mapping with closed convex values, we first prove the existence of Carathéodory weak solutions for differential set-valued inverse variational inequalities. Then, by the existence result, we establish the stability for the differential set-valued inverse variational inequality problem when the constraint set and the mapping are perturbed by two different parameters. The closedness and continuity of Carathéodory weak solutions with respect to the two different parameters are obtained.
Funder
National Natural Science Foundation of China
Opening Fund of Geomathematics Key Laboratory of Sichuan Province
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Cited by
2 articles.
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