Research Article

Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces

Volume: 10 Number: 1 April 15, 2022
EN

Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces

Abstract

The aim of this article is to investigate triple lacunary $\Delta $ -statistically convergent and triple lacunary $\Delta $-statistically Cauchy sequences in a neutrosophic normed space (NNS). Also, we present their feature utilizing triple lacunary density and derive the relationship between these notions.

Keywords

References

  1. [1] F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., 24(3) (2005), 287–297.
  2. [2] F. Smarandache, Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 1998.
  3. [3] M. Kirisci, N. S¸ims¸ek, Neutrosophic metric spaces, Math. Sci., 14 (2020), 241–248.
  4. [4] M. Kirisci, N. S¸ims¸ek, Neutrosophic normed spaces and statistical convergence, J. Anal., 28 (2020), 1059–1073.
  5. [5] M. Kirisci, N. S¸ims¸ek, M. Akyi˘git, Fixed point results for a new metric space, Math. Methods Appl. Sci., 44(9) (2020), 7416–7422.
  6. [6] O¨ . Kis¸i, Lacunary statistical convergence of sequences in neutrosophic normed spaces, 4th International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Istanbul, 2020, 345–354.
  7. [7] O¨ . Kis¸i, Ideal convergence of sequences in neutrosophic normed spaces, J. Intell. Fuzzy Syst., 41(2) (2021), 2581–2590.
  8. [8] V.A. Khan, M.D. Khan, M. Ahmad, Some new type of lacunary statistically convergent sequences in neutrosophic normed space, Neutrosophic Sets Syst., 42 (2021), 239–252.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 15, 2022

Submission Date

November 15, 2021

Acceptance Date

January 3, 2022

Published in Issue

Year 2022 Volume: 10 Number: 1

APA
Kişi, Ö., & Gürdal, V. (2022). Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp Journal of Mathematics, 10(1), 127-133. https://izlik.org/JA65NF48SH
AMA
1.Kişi Ö, Gürdal V. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. 2022;10(1):127-133. https://izlik.org/JA65NF48SH
Chicago
Kişi, Ömer, and Verda Gürdal. 2022. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics 10 (1): 127-33. https://izlik.org/JA65NF48SH.
EndNote
Kişi Ö, Gürdal V (April 1, 2022) Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp Journal of Mathematics 10 1 127–133.
IEEE
[1]Ö. Kişi and V. Gürdal, “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”, Konuralp J. Math., vol. 10, no. 1, pp. 127–133, Apr. 2022, [Online]. Available: https://izlik.org/JA65NF48SH
ISNAD
Kişi, Ömer - Gürdal, Verda. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 127-133. https://izlik.org/JA65NF48SH.
JAMA
1.Kişi Ö, Gürdal V. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. 2022;10:127–133.
MLA
Kişi, Ömer, and Verda Gürdal. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 127-33, https://izlik.org/JA65NF48SH.
Vancouver
1.Ömer Kişi, Verda Gürdal. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):127-33. Available from: https://izlik.org/JA65NF48SH
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