Differential Vector Variational Inequalities in Finite-Dimensional Spaces

Xing Wang and Nan-Jing Huang ()
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Xing Wang: Sichuan University
Nan-Jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 1, No 7, 109-129

Abstract: 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.

Keywords: Differential vector variational inequality; Carathéodory weak solution; Upper semicontinuity; Lower semicontinuity (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-012-0164-9

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