An-Najah University Journal for Research - A (Natural Sciences)

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

Article info

2015-03-04
2016-05-08
1 - 10

Keywords

  • Cone Metric Space
  • Cone Normed Space

Abstract

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.

Recommended Citation

Hakawati, A. A. (2017). 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. An-Najah University Journal for Research - A (Natural Sciences), 31(1), 1–10. https://doi.org/10.35552/anujr.a.31.1.1356
[1]A. 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,” An-Najah University Journal for Research - A (Natural Sciences), vol. 31, no. 1, pp. 1–10, Feb. 2017, doi: 10.35552/anujr.a.31.1.1356.
Hakawati, Abdallah A. “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.” An-Najah University Journal for Research - A (Natural Sciences), vol. 31, no. 1, Feb. 2017, pp. 1–10. Crossref, https://doi.org/10.35552/anujr.a.31.1.1356.
1.Hakawati AA. 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. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2017 Feb;31(1):1–10. Available from: http://dx.doi.org/10.35552/anujr.a.31.1.1356
Hakawati, Abdallah A. “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.” An-Najah University Journal for Research - A (Natural Sciences) 31, no. 1 (February 2017): 1–10. https://doi.org/10.35552/anujr.a.31.1.1356.

عن ورقة البحث: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani"
المؤلفون:

معلومات المقال

2015-03-04
2016-05-08
1 - 10

الكلمات الإفتتاحية

  • Cone Metric Space
  • Cone Normed Space

الملخص

لقد أغفلت الورقه "Examples in Cone Metric Spaces: A Survey"حقيقة أن فضاءات هي فضاءات بناخيه فقط عندما تكون . هنا نثبت أنه عندما تكون فإن الفضاء لا يكون فضاءً معياريا. كما أن مجال الاقتران في المثال رقم (1.17) من الورقة لا يسمح بتعريف القياس. وهنا أعطينا خيارين لتصويب التعريف. وختاما كان لنا على القياسات المخروطية والمعيارات المخروطية ملاحظات لم يتم تناولها بشكل واضح في الماضي.

Recommended Citation

Hakawati, A. A. (2017). 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. An-Najah University Journal for Research - A (Natural Sciences), 31(1), 1–10. https://doi.org/10.35552/anujr.a.31.1.1356
[1]A. 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,” An-Najah University Journal for Research - A (Natural Sciences), vol. 31, no. 1, pp. 1–10, Feb. 2017, doi: 10.35552/anujr.a.31.1.1356.
Hakawati, Abdallah A. “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.” An-Najah University Journal for Research - A (Natural Sciences), vol. 31, no. 1, Feb. 2017, pp. 1–10. Crossref, https://doi.org/10.35552/anujr.a.31.1.1356.
1.Hakawati AA. 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. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2017 Feb;31(1):1–10. Available from: http://dx.doi.org/10.35552/anujr.a.31.1.1356
Hakawati, Abdallah A. “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.” An-Najah University Journal for Research - A (Natural Sciences) 31, no. 1 (February 2017): 1–10. https://doi.org/10.35552/anujr.a.31.1.1356.

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