On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani
The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of the paper ''Exampl...
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An-Najah National University
2016-05-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
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| Online Access: | https://journals.najah.edu/media/journals/full_texts/1_IisEmDs.pdf |
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| author | Abdallah A. Hakawati |
| author_facet | Abdallah A. Hakawati |
| author_sort | Abdallah A. Hakawati |
| collection | DOAJ |
| description | The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of the paper ''Examples in Cone Metric Spaces: A Survey'' does not allow the cone metric to be defined, so we made two possible alternatives for that to make sense. Furthermore, we give a few remarks on cone metrics and cone norms which were not fully dealt with in the literature. |
| format | Article |
| id | doaj-art-4d244e925ff84d96acb4e6d23b1565ba |
| institution | DOAJ |
| issn | 1727-2114 2311-8865 |
| language | English |
| publishDate | 2016-05-01 |
| publisher | An-Najah National University |
| record_format | Article |
| series | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| spelling | doaj-art-4d244e925ff84d96acb4e6d23b1565ba2025-08-20T02:56:27ZengAn-Najah National Universityمجلة جامعة النجاح للأبحاث العلوم الطبيعية1727-21142311-88652016-05-0131111010.35552/anujr.a.31.1.1356On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. SoleimaniAbdallah A. Hakawati0Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, PalestineThe paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of the paper ''Examples in Cone Metric Spaces: A Survey'' does not allow the cone metric to be defined, so we made two possible alternatives for that to make sense. Furthermore, we give a few remarks on cone metrics and cone norms which were not fully dealt with in the literature.https://journals.najah.edu/media/journals/full_texts/1_IisEmDs.pdfcone metric spacecone normed space |
| spellingShingle | Abdallah A. Hakawati On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani مجلة جامعة النجاح للأبحاث العلوم الطبيعية cone metric space cone normed space |
| title | On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani |
| title_full | On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani |
| title_fullStr | On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani |
| title_full_unstemmed | On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani |
| title_short | On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani |
| title_sort | on the paper examples in cone metric spaces a survey middle east journal of scientific research 11 12 1636 1640 2014 m asadi h soleimani |
| topic | cone metric space cone normed space |
| url | https://journals.najah.edu/media/journals/full_texts/1_IisEmDs.pdf |
| work_keys_str_mv | AT abdallahahakawati onthepaperexamplesinconemetricspacesasurveymiddleeastjournalofscientificresearch1112163616402014masadihsoleimani |