Abstract
In this paper, we investigate the topological structure of solution sets of monotone vector variational inequalities (VVIs). We show that if the weak Pareto solution set of a monotone VVI is disconnected, then each connected component of the set is unbounded. Similarly, this property holds for the proper Pareto solution set. Two open questions on the topological structure of the solution sets of (symmetric) monotone VVIs are raised at the end of the paper.
Acknowledgments
The author would like to thank Prof. Nguyen Dong Yen for encouragement and the anonymous referees for valuable remarks and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author.