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Regularity conditions for constrained extremum problems via image space

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Abstract

Exploiting the image-space approach, we give an overview of regularity conditions. A notion of regularity for the image of a constrained extremum problem is given. The relationship between image regularity and other concepts is also discussed. It turns out that image regularity is among the weakest conditions for the existence of normal Lagrange multipliers.

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Communicated by F. Giannessi

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Dien, P.H., Mastroeni, G., Pappalardo, M. et al. Regularity conditions for constrained extremum problems via image space. J Optim Theory Appl 80, 19–37 (1994). https://doi.org/10.1007/BF02196591

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