Displaying similar documents to “High order inverse function theorems”

Applications of the Fréchet subdifferential

Durea, M. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. 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.