Differential Vector Variational Inequalities in Finite‐Dimensional Spaces

Differential Vector Variational Inequalities in Finite‐Dimensional Spaces

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Article ID: iaor20134186
Volume: 158
Issue: 1
Start Page Number: 109
End Page Number: 129
Publication Date: Jul 2013
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: vectorization, inequality problems
Abstract:

In this paper, a differential vector variational inequality is introduced and studied in finite‐dimensional Euclidean spaces. The existence of a Carathéodory weak solution for the differential vector variational inequality is presented under some suitable conditions. Furthermore, the upper semicontinuity and the lower semicontinuity of the solution sets for the differential variational inequality are established when both the mapping and the constraint set are perturbed by two different parameters.

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