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Differential Vector Variational Inequalities in Finite-Dimensional Spaces

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  • Xing Wang

    (Sichuan University)

  • Nan-Jing Huang

    (Sichuan University)

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.

Suggested Citation

  • Xing Wang & Nan-Jing Huang, 2013. "Differential Vector Variational Inequalities in Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 109-129, July.
    • Handle: RePEc:spr:joptap:v:158:y:2013:i:1:d:10.1007_s10957-012-0164-9
    DOI: 10.1007/s10957-012-0164-9
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    References listed on IDEAS

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    Cited by:

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