On Calmness of the Argmin Mapping in Parametric Optimization Problems
Klatte, Diethard ; Kummer, Bernd
In: Journal of Optimization Theory and Applications, 2015, vol. 165, no. 3, p. 708-719
Ajouter à la liste personnelle- Summary
- Recently, Cánovas et al. 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.