Differential Vector Variational Inequalities in Finite-Dimensional Spaces

作者：Wang Xing; Huang Nan Jing^*

来源：Journal of Optimization Theory and Applications, 2013, 158(1): 109-129.

DOI：10.1007/s10957-012-0164-9

• Differential vector variational inequality
• Caratheodory weak solution
• Upper semicontinuity
• Lower semicontinuity

In this paper, a differential vector variational inequality is introduced and studied in finite-dimensional Euclidean spaces. The existence of a Carath,odory 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.

• 出版日期2013-7
• 单位四川大学