Deakin University
Browse

Optimality conditions in nonconvex optimization via weak subdifferentials

journal contribution
posted on 2011-04-01, 00:00 authored by R Kasimbeyli, Musa MammadovMusa Mammadov
In 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.

History

Journal

Nonlinear analysis, theory, methods and applications

Volume

74

Pagination

2534-2547

Location

Amsterdam, The Netherlands

ISSN

0362-546X

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2010, Elsevier Ltd.

Issue

7

Publisher

Elsevier

Usage metrics

    Research Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC