Abstract
In this paper, we prove equality expression for the contingent cone and the strict normal cone to a set determined by equality and/or inequality constraints at a Fréchet differentiable point. A similar result has appeared before in the literature under the assumption that all the constraint functions are of classC or under the assumption that the functions are strictly differentiable at the point in question. Our result has applications to the calculation of various kinds of tangent cones and normal cones.
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Communicated by F. Giannessi
This research was supported, in part by the National Science and Engineering Research Council of Canada under Grant No. OGP-41983.
The authors would like to thank D. E. Ward for his many helpful comments.
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Di, S., Poliquin, R. Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point. J Optim Theory Appl 81, 469–478 (1994). https://doi.org/10.1007/BF02193096
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DOI: https://doi.org/10.1007/BF02193096