Araştırma Makalesi

New notions of triple sequences on ideal spaces in metric spaces

Cilt: 5 Sayı: 3 30 Eylül 2021
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New notions of triple sequences on ideal spaces in metric spaces

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. [1] P. Das, P. Kostyrko, W. Wilczy«ski and P. Malik, I and I ∗ -convergence of double sequences, Mathematica Slovaca 58(2008), no. 5, 605-620.
  2. [2] P. Kostyrko, T. Salát and W. Wilczy«ski, I-convergence, Real Anal. Exchange 26(2000/2001), 669-686.
  3. [3] P. Kostyrko, M. Macaj, T. Salát and M. Sleziak, I-Convergence and Extremal I-Limit Points, Math. Slovaca 55 (2005), 443-464.
  4. [4] L.N. Krivonosov, Localized sequences in metric spaces, Izv. Vyssh. Uchebn. Zaved Mat. 4 (1974), 45-54.
  5. [5] A.A. Nabiev, E. Savas and M. Gurdal, I-localized sequences in metric spaces, Facta Universitatis 35 (2020), no. 2, 459-469.
  6. [6] S. Saha, A. Esi and S. Roy, Some new classes of multiplier ideal convergent triple sequences spaces of fuzzy numbers defined by Orlicz functions, Palestine Journal of Mathematics 9 (2020), no. 1, 174-186.
  7. [7] A. Sahiner and B.C. Tripathy, Some I-related properties of triple sequences, Selcuk J. Appl. Math. 9 (2008), no. 2, 9-18.
  8. [8] N. Subramanian and A. Esi, On rough convergence variables of triple sequences, Analysis 40(2020), no. 2, 85-88.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2021

Gönderilme Tarihi

25 Aralık 2020

Kabul Tarihi

7 Mayıs 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Granados, C. (2021). New notions of triple sequences on ideal spaces in metric spaces. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 362-367. https://doi.org/10.31197/atnaa.846717
AMA
1.Granados C. New notions of triple sequences on ideal spaces in metric spaces. ATNAA. 2021;5(3):362-367. doi:10.31197/atnaa.846717
Chicago
Granados, Carlos. 2021. “New notions of triple sequences on ideal spaces in metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application 5 (3): 362-67. https://doi.org/10.31197/atnaa.846717.
EndNote
Granados C (01 Eylül 2021) New notions of triple sequences on ideal spaces in metric spaces. Advances in the Theory of Nonlinear Analysis and its Application 5 3 362–367.
IEEE
[1]C. Granados, “New notions of triple sequences on ideal spaces in metric spaces”, ATNAA, c. 5, sy 3, ss. 362–367, Eyl. 2021, doi: 10.31197/atnaa.846717.
ISNAD
Granados, Carlos. “New notions of triple sequences on ideal spaces in metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application 5/3 (01 Eylül 2021): 362-367. https://doi.org/10.31197/atnaa.846717.
JAMA
1.Granados C. New notions of triple sequences on ideal spaces in metric spaces. ATNAA. 2021;5:362–367.
MLA
Granados, Carlos. “New notions of triple sequences on ideal spaces in metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 3, Eylül 2021, ss. 362-7, doi:10.31197/atnaa.846717.
Vancouver
1.Carlos Granados. New notions of triple sequences on ideal spaces in metric spaces. ATNAA. 01 Eylül 2021;5(3):362-7. doi:10.31197/atnaa.846717

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