- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 3
- New notions of triple sequences on ideal spaces in metric spaces
New notions of triple sequences on ideal spaces in metric spaces
Authors : Carlos GRANADOS
Pages : 362-367
Doi:10.31197/atnaa.846717
View : 3 | Download : 1
Publication Date : 2021-09-30
Article Type : Research
Abstract :In this paper, the concepts of $ I_{3} $-localized and $ I_{3}^{*} $-localized sequences in metric spaces are introduced. Furthermore, some properties related to the $ I_{3} $-localized and $ I_{3} $-Cauchy sequences are proved. Otherwise, the notions of uniformly $ I_{3} $-localized sequences in metric spaces are defined.Keywords : $ I_{3} $-localized sequences, $ I_{3}^{*} $-localized sequence, $ I_{3} $-Cauchy sequences, uniformly $ I_{3} $-localized sequences