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A Result on Vector Variational Inequalities with Polyhedral Constraint Sets

Author

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  • G. M. Lee
  • N. D. Yen

Abstract

In this note, by using some well-known results on properly efficient solutions of vector optimization problems, we show that the Pareto solution set of a vector variational inequality with a polyhedral constraint set can be expressed as the union of the solution sets of a family of (scalar) variational inequalities.

Suggested Citation

  • G. M. Lee & N. D. Yen, 2001. "A Result on Vector Variational Inequalities with Polyhedral Constraint Sets," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 193-197, April.
    • Handle: RePEc:spr:joptap:v:109:y:2001:i:1:d:10.1023_a:1017522107088
    DOI: 10.1023/A:1017522107088
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    Cited by:

    1. C. R. Chen & S. J. Li, 2013. "Semicontinuity Results on Parametric Vector Variational Inequalities with Polyhedral Constraint Sets," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 97-108, July.
    2. Vu Trung Hieu, 2019. "Numbers of the connected components of the solution sets of monotone affine vector variational inequalities," Journal of Global Optimization, Springer, vol. 73(1), pages 223-237, January.

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