Order Norm Completions of Cone Metric Spaces
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2016-06-27T08:03:08Z | |
| dc.date.accessioned | 2025-09-18T12:04:41Z | |
| dc.date.available | 2016-06-27T08:03:08Z | |
| dc.date.available | 2025-09-18T12:04:41Z | |
| dc.date.issued | 2011 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this article, a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed. This order norm has to satisfy the generalized absolute value property. In particular, if E is a Dedekind complete Banach lattice, then, together with its absolute value norm, satisfy the desired properties. | en_US |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkey. | en_US |
| dc.identifier.citation | Abdeljawad, T. (2011). Order norm completions of cone metric spaces. Numerical Functional Analysis and Optimization, 32(5), 477-495. http://dx.doi.org/10.1080/01630563.2011.563892 | en_US |
| dc.identifier.doi | 10.1080/01630563.2011.563892 | |
| dc.identifier.issn | 0163-0563 | |
| dc.identifier.issn | 1532-2467 | |
| dc.identifier.scopus | 2-s2.0-79953681618 | |
| dc.identifier.uri | https://doi.org/10.1080/01630563.2011.563892 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10418 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis inc | en_US |
| dc.relation.ispartof | Numerical Functional Analysis and Optimization | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Absolute Value Property | en_US |
| dc.subject | Cone Banach | en_US |
| dc.subject | Cone Isometry | en_US |
| dc.subject | Cone Metric | en_US |
| dc.subject | Strongly Minihedral | en_US |
| dc.subject | Uniformly Continuous | en_US |
| dc.title | Order Norm Completions of Cone Metric Spaces | en_US |
| dc.title | Order norm completions of cone metric spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 495 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 477 | en_US |
| gdc.description.volume | 32 | en_US |
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| gdc.oaire.keywords | Strongly minihedral | |
| gdc.oaire.keywords | Absolute value preoperty | |
| gdc.oaire.keywords | Cone metric space | |
| gdc.oaire.keywords | Cone norm space | |
| gdc.oaire.keywords | Cone isometry | |
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