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

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An-Najah University Journal for Research - A (Natural Sciences) Indexed in Scopus since 2019
CiteScore 0.8
Indexed since 2019
First decision 5 Days
Submission to acceptance 160 Days
Acceptance to publication 20 Days
Acceptance rate 14%

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Original full research article

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

Published
2016-05-08
Pages
1 - 10
Full text

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.

Article history

Received
2015-03-04
Accepted
2016-05-08
بحث أصيل كامل

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"

Published
2016-05-08
الصفحات
1 - 10
البحث كاملا

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.

Article history

تاريخ التسليم
2015-03-04
تاريخ القبول
2016-05-08