Open Access

  

Original research article

New notions of triple sequences on ideal spaces in metric spaces

Author(s):

Carlos Granados

Estudiante de Doctorado en Matemáticas, Magíster en Ciencias Matemáticas, Universidad de Antioquia, Medellín, Colombia.

Advances in the Theory of Nonlinear Analysis and its Applications 5(3), 362-367.
Received: December 25, 2020

  

  

  

Accepted: May 6, 2021

  

Published: May 8, 2021

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 sequences; $I_{3}$-Cauchy sequences; uniformly $I_{3}$-localized sequences.

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APA Style

Granados, C. (2021). New notions of triple sequences on ideal spaces in metric spaces. Advances in the Theory of Nonlinear Analysis and its Application5(3), 362-367.