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: | Wang Xing, Huang Nan-Jing |
Keywords: | vectorization, inequality problems |
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.