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Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Argyros, Ioannis K. | - |
| dc.contributor.author | Cho, Yeol Je | - |
| dc.contributor.author | George, Santhosh | - |
| dc.date.accessioned | 2024-12-02T20:30:47Z | - |
| dc.date.available | 2024-12-02T20:30:47Z | - |
| dc.date.issued | 2020-08 | - |
| dc.identifier.issn | 2705-1064 | - |
| dc.identifier.uri | https://scholarworks.gnu.ac.kr/handle/sw.gnu/71519 | - |
| dc.description.abstract | Let X, Y be Hilbert spaces and F : X -> Y be Frochet differentiable. Suppose that F' is center-Lipschitz on U(w, r ) and F'(w) be a siujection. Then, S-1 = F(U(w, epsilon(1))) is convex where epsilon(1) <= r The set S-1 contains the corresponding set given in [18] under the Lipschitz condition. Numerical examples where the old conditions are not satisfied but the new conditions are satisfied are provided in this paper. | - |
| dc.format.extent | 6 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | UNIVERSAL WISER PUBLISHER | - |
| dc.title | Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization | - |
| dc.type | Article | - |
| dc.publisher.location | 싱가폴 | - |
| dc.identifier.doi | 10.37256/cm.142020405 | - |
| dc.identifier.scopusid | 2-s2.0-85143807019 | - |
| dc.identifier.wosid | 000895872700004 | - |
| dc.identifier.bibliographicCitation | Contemporary Mathematics, v.1, no.4, pp 209 - 214 | - |
| dc.citation.title | Contemporary Mathematics | - |
| dc.citation.volume | 1 | - |
| dc.citation.number | 4 | - |
| dc.citation.startPage | 209 | - |
| dc.citation.endPage | 214 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | Y | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | NEWTONS METHOD | - |
| dc.subject.keywordPlus | CONVERGENCE | - |
| dc.subject.keywordAuthor | convexity | - |
| dc.subject.keywordAuthor | Newton's method | - |
| dc.subject.keywordAuthor | optimization | - |
| dc.subject.keywordAuthor | control theory | - |
| dc.subject.keywordAuthor | image of a ball | - |
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