New notions of triple sequences on ideal spaces in metric spaces

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

Kaynakça

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