New notions of triple sequences on ideal spaces in metric spaces

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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