Geodesic
Applications of the Fréchet subdifferential
Serdica Mathematical Journal, Tome 29 (2003) no. 4, pp. 301-314.

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In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
Keywords: Fréchet Subdifferentials, Multifunctions, Optimization, Metric Regularity 
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     title = {Applications of the {Fr\'echet} subdifferential},
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Durea, M. Applications of the Fréchet subdifferential. Serdica Mathematical Journal, Tome 29 (2003) no. 4, pp. 301-314. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_4_a0/