Abstract
In this note, we consider the notion of the image of a parametric optimization problem and show that the lower semicontinuity and upper semicontinuity properties of its marginal function can be equivalently expressed as two geometric relations in the image space. These results generalize some existing statements in the literature.
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Communicated by F. Giannessi
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Mastroeni, G., Pappalardo, M. & Yen, N.D. Image of a parametric optimization problem and continuity of the perturbation function. J Optim Theory Appl 81, 193–202 (1994). https://doi.org/10.1007/BF02190319
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DOI: https://doi.org/10.1007/BF02190319