Some Theorems and Examples of Cone Banach Spaces
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Turkoglu, Duran | |
| dc.contributor.author | Abuloha, Muhib | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:50:59Z | |
| dc.date.available | 2025-09-23T12:50:59Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this paper, by defining a cone norm parallel to.parallel to(A) on E over itself which behaves like the absolute value norm on R, we construct examples of cone Banach spaces. Namely, we define the m-Euclidian cone normed space E-m, E-infinity and the space C-E(S) of continuous functions in cones, to generalize the Banach spaces R-m, l(infinity) and C [a, b], respectively. Some basic lemmas and theorems are also proved to help in the construction and in the proof of completeness of the above mentioned examples of cone normed spaces. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK-Turkey) | en_US |
| dc.description.sponsorship | The research has been supported by The Scientific and Technological Research Council of Turkey (TUBITAK-Turkey). | en_US |
| dc.identifier.citation | Abdeljawad, T., Türkoğlu, D., Abuloha, M. (2010). Some Theorems and Examples of Cone Banach Spaces. Journal of Computational analysis and Applications, 12(4), 739-753. | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.issn | 1572-9206 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15578 | |
| dc.language.iso | en | en_US |
| dc.publisher | Eudoxus Press, Llc | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Cone Metric Space | en_US |
| dc.subject | Cone Normed Space | en_US |
| dc.subject | Cone Banach Space | en_US |
| dc.subject | Strongly Minihedral Cone | en_US |
| dc.subject | Limit Point In The Sense Of Cone | en_US |
| dc.subject | A-Property | en_US |
| dc.subject | Generalized Absolute Value Property | en_US |
| dc.subject | Space E-M | en_US |
| dc.subject | Space E-Infinity | en_US |
| dc.title | Some Theorems and Examples of Cone Banach Spaces | en_US |
| dc.title | Some Theorems and Examples of Cone Banach Spaces | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.yokid | 48019 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; Gazi Univ, Dept Math, Fac Sci & Arts, TR-06500 Ankara, Turkey; Gazi Univ, Dept Math, Inst Sci & Technol, TR-06500 Ankara, Turkey | en_US |
| gdc.description.endpage | 753 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 739 | en_US |
| gdc.description.volume | 12 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.wos | WOS:000275501100003 | |
| gdc.index.type | WoS | |
| gdc.publishedmonth | 10 | |
| gdc.wos.citedcount | 35 | |
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