Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1714

 Title: Applications of the Fréchet subdifferential Authors: Durea, M. Keywords: Fréchet SubdifferentialsMultifunctionsOptimizationMetric Regularity Issue Date: 2003 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 29, No 4, (2003), 301p-314p Abstract: 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. Description: 2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. URI: http://hdl.handle.net/10525/1714 ISSN: 1310-6600 Appears in Collections: Volume 29 Number 4

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