Abstract
In this article, we consider a parametric vector quasiequilibrium problem in topological vector spaces. Sufficient conditions for solution maps to be lower and Hausdorff lower semicontinuous, upper semicontinuous and continuous are established. Our results improve recent existing ones in the literature.
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Anh, L.Q., Khanh, P.Q. Continuity of solution maps of parametric quasiequilibrium problems. J Glob Optim 46, 247–259 (2010). https://doi.org/10.1007/s10898-009-9422-2
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DOI: https://doi.org/10.1007/s10898-009-9422-2
Keywords
- Parametric vector quasiequilibrium problems
- Solution maps
- Lower semicontinuity
- Hausdorff lower semicontinuity
- Upper semicontinuity
- Continuity
- Generalized concavity
- Generalized pseudomonotonicity