Slowly oscillating sequences in locally normal Riesz spaces
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Inst Advanced Science Extension
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we are going to introduce and at the same time investigate the notion of slowly oscillating sequences, study on slowly oscillating compactness and slowly oscillating continuous functions in locally normal Riesz space. For this purpose, first of all, we are going to try to put forward some fundamental theorems about oscillating continuity, slowly oscillating compactness, sequential continuity and uniform continuity. Secondly, the newly obtained results in this paper can also be obtained with the definition of quasi-slowly oscillating and.-quasi-slowly oscillating sequences in terms of fuzzy points. Finally, most of the related theorems and lemmas are presented clearly. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Açıklama
Anahtar Kelimeler
Riesz space Continuity, Quasi-Cauchy sequence, Slowly oscillating sequences
Kaynak
International Journal of Advanced and Applied Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
4
Sayı
1
