New notions of triple sequences on ideal spaces in metric spaces

Year 2021, Volume: 5 Issue: 3, 362 - 367, 30.09.2021

Carlos Granados

https://doi.org/10.31197/atnaa.846717

Cited By: 3

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

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