Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620421 | Journal of Mathematical Analysis and Applications | 2009 | 9 Pages |
Abstract
This paper is concerned with isolated calmness of the solution mapping of a parameterized convex semi-infinite optimization problem subject to canonical perturbations. We provide a sufficient condition for isolated calmness of this mapping. This sufficient condition characterizes the strong uniqueness of minimizers, under the Slater constraint qualification. Moreover, on the assumption that the objective function and the constraints are linear, we show that this condition is also necessary for isolated calmness.
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