Abstract
This paper considers the existence of solutions and the equivalence of four kinds of vector variational inequalities (VVI). More precisely, a sufficient condition is provided under which the solution sets of these VVIs are nonempty and equal. An example is given, showing that such a sufficient condition is essential to ensure the results. Actually, the main theorems in this paper can be regarded as a suitable correction and a refinement of recent results due to Chang et al. (Ref. 1).
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Kim, M., Kum, S. & Lee, G. Vector Variational Inequalities Involving Vector Maximal Points. Journal of Optimization Theory and Applications 114, 593–607 (2002). https://doi.org/10.1023/A:1016075029509
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DOI: https://doi.org/10.1023/A:1016075029509