Recently, Canovas et. al. (2013) presented an interesting result: the argmin mapping of a linear semi-infinite program under canonical perturbations is calm if and only if some associated linear semi-infinite inequality system is calm. Using classical tools from parametric optimization, we show that the if-direction of this condition holds in a much more general framework of optimization models, while the opposite direction may fail in the general case. In applications to special classes of problems, we apply a more recent result on the intersection of calm multifunctions.
Citation
Accepted version, published in J. Optim. Theory Appl. (2015) 165: 708-719. The final version is available at link.springer.com
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View On Calmness of the Argmin Mapping in Parametric Optimization Problems