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Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
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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.contributor.author | Xiao, Yibin | - |
| dc.date.accessioned | 2024-12-02T21:31:06Z | - |
| dc.date.available | 2024-12-02T21:31:06Z | - |
| dc.date.issued | 2020-01 | - |
| dc.identifier.issn | 0252-9602 | - |
| dc.identifier.issn | 1572-9087 | - |
| dc.identifier.uri | https://scholarworks.gnu.ac.kr/handle/sw.gnu/72032 | - |
| dc.description.abstract | The paper develops the local convergence of Inexact Newton-Like Method (INLM) for approximating solutions of nonlinear equations in Banach space setting. We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis. The obtained results compare favorably with earlier ones such as [7, 13, 14, 18, 19]. A numerical example is also provided. | - |
| dc.format.extent | 12 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | Kluwer Academic Publishers | - |
| dc.title | Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions | - |
| dc.type | Article | - |
| dc.publisher.location | 미국 | - |
| dc.identifier.doi | 10.1007/s10473-020-0113-0 | - |
| dc.identifier.scopusid | 2-s2.0-85076493999 | - |
| dc.identifier.wosid | 000511674600013 | - |
| dc.identifier.bibliographicCitation | Acta Mathematica Scientia, v.40, no.1, pp 199 - 210 | - |
| dc.citation.title | Acta Mathematica Scientia | - |
| dc.citation.volume | 40 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 199 | - |
| dc.citation.endPage | 210 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | UNIQUENESS | - |
| dc.subject.keywordPlus | EQUATIONS | - |
| dc.subject.keywordPlus | BEHAVIOR | - |
| dc.subject.keywordAuthor | inexact Newton method | - |
| dc.subject.keywordAuthor | Banach space | - |
| dc.subject.keywordAuthor | semilocal convergence | - |
| dc.subject.keywordAuthor | weak and center-weak Lipschitz condition | - |
| dc.subject.keywordAuthor | recurrent functions | - |
| dc.subject.keywordAuthor | Kantorovich hypotheses | - |
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