Optimality Conditions in Nonconvex Optimization Via Weak Subdifferentials
| dc.contributor.author | Kasimbeyli, R. | |
| dc.contributor.author | Mammadov, M. | |
| dc.date.accessioned | 2023-06-16T14:11:17Z | |
| dc.date.available | 2023-06-16T14:11:17Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | 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. (C) 2010 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.na.2010.12.008 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.scopus | 2-s2.0-79951682618 | |
| dc.identifier.uri | https://doi.org/10.1016/j.na.2010.12.008 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1342 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.ispartof | Nonlınear Analysıs-Theory Methods & Applıcatıons | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Weak subdifferential | en_US |
| dc.subject | Directional derivative | en_US |
| dc.subject | Nonconvex analysis | en_US |
| dc.subject | Optimality condition | en_US |
| dc.subject | Variational inequalities | en_US |
| dc.subject | Augmented normal cone | en_US |
| dc.subject | Radial Epiderivatives | en_US |
| dc.subject | Calculus | en_US |
| dc.title | Optimality Conditions in Nonconvex Optimization Via Weak Subdifferentials | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kasimbeyli OR Gasimov, Refail OR Rafail/0000-0002-7339-9409 | |
| gdc.author.id | Mammadov, Musa/0000-0002-2600-3379 | |
| gdc.author.scopusid | 35146065000 | |
| gdc.author.scopusid | 15127216400 | |
| gdc.author.wosid | Kasimbeyli OR Gasimov, Refail OR Rafail/AAA-4049-2020 | |
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| gdc.description.department | İEÜ, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü | en_US |
| gdc.description.departmenttemp | [Mammadov, M.] Univ Ballarat, Ctr Informat & Appl Optimizat, Ballarat, Vic 3353, Australia; [Kasimbeyli, R.] Izmir Univ Econ, Fac Engn & Comp Sci, Dept Ind Syst Engn, Izmir, Turkey | en_US |
| gdc.description.endpage | 2547 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 2534 | en_US |
| gdc.description.volume | 74 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2033063724 | |
| gdc.identifier.wos | WOS:000288254800011 | |
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| gdc.oaire.keywords | Nonlinear programming | |
| gdc.oaire.keywords | nonconvex analysis | |
| gdc.oaire.keywords | Optimality conditions and duality in mathematical programming | |
| gdc.oaire.keywords | Nonconvex programming, global optimization | |
| gdc.oaire.keywords | directional derivative | |
| gdc.oaire.keywords | augmented normal cone | |
| gdc.oaire.keywords | variational inequalities | |
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| gdc.oaire.sciencefields | 0211 other engineering and technologies | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
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| gdc.opencitations.count | 22 | |
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| gdc.scopus.citedcount | 34 | |
| gdc.virtual.author | Kasimbeyli̇, Refail | |
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