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Image of a parametric optimization problem and continuity of the perturbation function |
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| Authors: | G. Mastroeni M. Pappalardo N. D. Yen |
| Affiliation: | (1) Department of Mathematics, University of Milano, Milano, Italy;(2) Department of Mathematics, University of Pisa, Pisa, Italy;(3) Department of Dynamical Systems, Institute of Mathematics, NCSR of Vietnam, Bo Ho, Hanoi, Vietnam |
| 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. |
| Keywords: | Image space parametric problems marginal function semicontinuity |
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