Araştırma Makalesi

$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES

Cilt: 5 Sayı: 1 15 Şubat 2023
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$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES

Abstract

The concept of $\mu$-statistical convergence of double and multiple sequences in topological vector space (tvs for short) valued cone metric spaces is introduced in this paper. The relationships between $\mu$-statistical convergence and convergence in $\mu$-density is investigated.

Keywords

Kaynakça

  1. M. Asadi, B. E. Rhoades and H. Soleimani, Some notes on the paper ``The equivalance of cone metric space and metric space'', Fixed Point Theory and A. 87 2012, 1-4.
  2. J. Connor, $R-$ type summability methods, Cauchy criteria, $P-$ sets and statistical convergence, Proc. Am. Math. Soc. 115(2) 1992, 319-327.
  3. J. Connor, Two valued measure and summability, Analysis. 10 1992, 373-385.
  4. P. Das and S. Bhunia, Two valued measure and summability of double sequences, Czechoslovak Math. J. 59(134) 2009, 1141-1155.
  5. P. Das, E. Savas and S. Bhunia, Two valued measure and some new double sequence spaces in 2-normed spaces, Czechoslovak Math. J., 61(136) 2011, 809-825.
  6. P. Das and S. Bhunia, Two valued measure and summability of double sequences in asymmetric context, Acta Math. Hungar., 130(1-2) (2011), 167-187.
  7. W. S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. TMA 72 2010, 2259-2261.
  8. H. Fast, Sur la convergence statistique. Colloq. Math. 2 1951, 241-244.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

15 Şubat 2023

Gönderilme Tarihi

3 Ocak 2023

Kabul Tarihi

2 Şubat 2023

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 1

Kaynak Göster

APA
Sahiner, A., & Yılmaz, N. (2023). $\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES. Journal of Multidisciplinary Modeling and Optimization, 5(1), 1-10. https://izlik.org/JA93TX83MH
AMA
1.Sahiner A, Yılmaz N. $\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES. jmmo. 2023;5(1):1-10. https://izlik.org/JA93TX83MH
Chicago
Sahiner, Ahmet, ve Nurullah Yılmaz. 2023. “$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES”. Journal of Multidisciplinary Modeling and Optimization 5 (1): 1-10. https://izlik.org/JA93TX83MH.
EndNote
Sahiner A, Yılmaz N (01 Şubat 2023) $\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES. Journal of Multidisciplinary Modeling and Optimization 5 1 1–10.
IEEE
[1]A. Sahiner ve N. Yılmaz, “$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES”, jmmo, c. 5, sy 1, ss. 1–10, Şub. 2023, [çevrimiçi]. Erişim adresi: https://izlik.org/JA93TX83MH
ISNAD
Sahiner, Ahmet - Yılmaz, Nurullah. “$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES”. Journal of Multidisciplinary Modeling and Optimization 5/1 (01 Şubat 2023): 1-10. https://izlik.org/JA93TX83MH.
JAMA
1.Sahiner A, Yılmaz N. $\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES. jmmo. 2023;5:1–10.
MLA
Sahiner, Ahmet, ve Nurullah Yılmaz. “$\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES”. Journal of Multidisciplinary Modeling and Optimization, c. 5, sy 1, Şubat 2023, ss. 1-10, https://izlik.org/JA93TX83MH.
Vancouver
1.Ahmet Sahiner, Nurullah Yılmaz. $\mu$-STATISTICAL CONVERGENCE OF MULTIPLE SEQUENCES IN TOPOLOGICAL VECTOR VALUED CONE METRIC SPACES. jmmo [Internet]. 01 Şubat 2023;5(1):1-10. Erişim adresi: https://izlik.org/JA93TX83MH