Optimality conditions in nonconvex optimization via weak subdifferentials
journal contribution
posted on 2011-04-01, 00:00 authored by R Kasimbeyli, Musa MammadovMusa MammadovIn this paper we study optimality conditions for optimization problems described by a special class of directionally differentiable functions. The well-known necessary and sufficient optimality condition of nonsmooth convex optimization, given in the form of variational inequality, is generalized to the nonconvex case by using the notion of weak subdifferentials. The equivalent formulation of this condition in terms of weak subdifferentials and augmented normal cones is also presented. © 2011 Elsevier Ltd. All rights reserved.
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Journal
Nonlinear analysis, theory, methods and applicationsVolume
74Pagination
2534-2547Location
Amsterdam, The NetherlandsPublisher DOI
ISSN
0362-546XLanguage
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2010, Elsevier Ltd.Issue
7Publisher
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