An Introduction to Non-Smooth Convex Analysis via Multiplicative Derivative
| dc.contributor.author | Tor, Ali Hakan | |
| dc.date.accessioned | 2025-09-25T10:40:32Z | |
| dc.date.available | 2025-09-25T10:40:32Z | |
| dc.date.issued | 2019 | |
| dc.description | Tor, Ali Hakan/0000-0003-3193-5004; | en_US |
| dc.description.abstract | In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis. As for directional derivative and subgradient, which are used in the non-smooth optimization theory, basic definitions and preliminary facts related to optimization theory are stated and proved, and the *-subgradient concept is illustrated by providing some examples, such as absolute value and exponential functions. In addition, necessary and sufficient optimality conditions are obtained for convex problems. | en_US |
| dc.identifier.doi | 10.1080/16583655.2019.1580122 | |
| dc.identifier.issn | 1658-3655 | |
| dc.identifier.scopus | 2-s2.0-85132090927 | |
| dc.identifier.uri | https://doi.org/10.1080/16583655.2019.1580122 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3262 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Journal of Taibah University for Science | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Optimality Conditions | en_US |
| dc.subject | Non-Smooth Convex Analysis | en_US |
| dc.subject | Multiplicative Calculus | en_US |
| dc.subject | Convex Analysis | en_US |
| dc.title | An Introduction to Non-Smooth Convex Analysis via Multiplicative Derivative | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tor, Ali Hakan/0000-0003-3193-5004 | |
| gdc.author.institutional | Tor, Ali Hakan | |
| gdc.author.scopusid | 56310656600 | |
| gdc.author.wosid | Tor, Ali/Aah-8622-2019 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Tor, Ali Hakan] Abdullah Gul Univ, Fac Comp Sci, Dept Appl Math, Kayseri, Turkey | en_US |
| gdc.description.endpage | 359 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 351 | en_US |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2948637350 | |
| gdc.identifier.wos | WOS:000458546300001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 60 | |
| gdc.oaire.impulse | 1.0 | |
| gdc.oaire.influence | 2.5670965E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Optimality conditions | |
| gdc.oaire.keywords | Q1-390 | |
| gdc.oaire.keywords | optimality conditions | |
| gdc.oaire.keywords | Science (General) | |
| gdc.oaire.keywords | multiplicative calculus | |
| gdc.oaire.keywords | convex analysis | |
| gdc.oaire.keywords | non-smooth convex analysis | |
| gdc.oaire.popularity | 2.6949951E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0211 other engineering and technologies | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.views | 139 | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 0.33873016 | |
| gdc.openalex.normalizedpercentile | 0.52 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.scopuscites | 2 | |
| gdc.scopus.citedcount | 2 | |
| gdc.virtual.author | Tor, Ali Hakan | |
| gdc.wos.citedcount | 2 | |
| relation.isAuthorOfPublication | d8cc2016-c70a-4350-ae11-d519e72deca3 | |
| relation.isAuthorOfPublication.latestForDiscovery | d8cc2016-c70a-4350-ae11-d519e72deca3 | |
| relation.isOrgUnitOfPublication | 665d3039-05f8-4a25-9a3c-b9550bffecef | |
| relation.isOrgUnitOfPublication | 26c938e5-738e-41bf-8231-8de593870236 | |
| relation.isOrgUnitOfPublication | ef13a800-4c99-4124-81e0-3e25b33c0c2b | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 665d3039-05f8-4a25-9a3c-b9550bffecef |