دورية أكاديمية
Farthest Points and Subdifferential in 𝑝-Normed Spaces
العنوان: | Farthest Points and Subdifferential in 𝑝-Normed Spaces |
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المؤلفون: | S. Hejazian, A. Niknam, S. Shadkam |
المصدر: | International Journal of Mathematics and Mathematical Sciences, Vol 2008 (2008) |
بيانات النشر: | Hindawi Limited, 2008. |
سنة النشر: | 2008 |
المجموعة: | LCC:Mathematics |
مصطلحات موضوعية: | Mathematics, QA1-939 |
الوصف: | We study the farthest point mapping in a 𝑝-normed space 𝑋 in virtue of subdifferential of 𝑟(𝑥)=sup{‖𝑥−𝑧‖𝑝∶𝑧∈𝑀}, where 𝑀 is a weakly sequentially compact subset of 𝑋. We show that the set of all points in 𝑋 which have farthest point in 𝑀 contains a dense 𝐺𝛿 subset of 𝑋. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 0161-1712 1687-0425 |
Relation: | https://doaj.org/toc/0161-1712; https://doaj.org/toc/1687-0425 |
DOI: | 10.1155/2008/196326 |
URL الوصول: | https://doaj.org/article/52f0b1fd3a354c3f9be41edb453ba84c |
رقم الأكسشن: | edsdoj.52f0b1fd3a354c3f9be41edb453ba84c |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 01611712 16870425 |
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DOI: | 10.1155/2008/196326 |