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Numbers of the connected components of the solution sets of monotone affine vector variational inequalities

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  • Vu Trung Hieu

    (Phuong Dong University)

Abstract

This paper establishes several upper and lower estimates for the maximal number of the connected components of the solution sets of monotone affine vector variational inequalities. Our results give a partial solution to Question 2 in Yen and Yao (Optimization 60:53–68, 2011) and point out that the number depends not only on the number of the criteria but also on the number of variables of the vector variational inequality under investigation.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jglopt:v:73:y:2019:i:1:d:10.1007_s10898-018-0678-2
    DOI: 10.1007/s10898-018-0678-2
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    References listed on IDEAS

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    1. 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.
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