Abstract
This paper is concerned with the study of solution stability of a parametric vector variational inequality, where mappings may not be strongly monotone. Under some requirements that the operator of a unperturbed problem is monotone or it satisfies degree conditions then we show that the solution map of a parametric vector variational inequality is lower semicontinuous.
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Wong, M.M. Lower semicontinuity of the solution map to a parametric vector variational inequality. J Glob Optim 46, 435–446 (2010). https://doi.org/10.1007/s10898-009-9447-6
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DOI: https://doi.org/10.1007/s10898-009-9447-6