Research Article

On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces

Volume: 7 Number: 2 October 15, 2019
EN

On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces

Abstract

In this paper first, we investigate some properties of $\mathcal{I}_2$-convergence in fuzzy normed spaces. After, we study some relationships between $\mathcal{I}_2$-convergence  and $\mathcal{I}_2^{*}$-convergence of double sequences in fuzzy normed spaces.

Keywords

References

  1. [1] Bag, T. and Samanta, S.K., Fixed point theorems in Felbin's type fuzzy normed linear spaces, J. Fuzzy Math. 16(1) (2008), 243-260.
  2. [2] Bede, B. and Gal, S.G., Almost periodic fuzzy-number-valued functions, Fuzzy Sets Syst. 147(2004), 385-403.
  3. [3] Das, P., Kostyrko, P., Wilczynski, W. and Malik, P., I and I*-convergence of double sequences, Math. Slovaca, 58(5) (2008), 605-620.
  4. [4] Das, P. and Malik, P., On extremal I-limit points of double sequences, Tatra Mt. Math. Publ. 40 (2008), 91-102.
  5. [5] Diamond, P. and Kloeden, P., Metric Spaces of Fuzzy Sets-Theory and Applications, World Scienti c Publishing, Singapore (1994).
  6. [6] Dündar, E. and Altay, B., I2-convergence and I2-Cauchy of double sequences, Acta Mathematica Scientia, 34(2) (2014), 343-353.
  7. [7] Dündar, E. and Altay, B., On some properties of I2-convergence and I2-Cauchy of double sequences, Gen. Math. Notes, 7(1) (2011), 1-12.
  8. [8] Dündar, E. and Talo,  O., I2-convergence of double sequences of fuzzy numbers, Iranian Journal of Fuzzy Systems, 10(3) (2013), 37-50

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 15, 2019

Submission Date

April 14, 2019

Acceptance Date

May 8, 2019

Published in Issue

Year 2019 Volume: 7 Number: 2

APA
Dundar, E., & Türkmen, M. R. (2019). On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces. Konuralp Journal of Mathematics, 7(2), 405-409. https://izlik.org/JA32XX68ZT
AMA
1.Dundar E, Türkmen MR. On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces. Konuralp J. Math. 2019;7(2):405-409. https://izlik.org/JA32XX68ZT
Chicago
Dundar, Erdinç, and Muhammed Recai Türkmen. 2019. “On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces”. Konuralp Journal of Mathematics 7 (2): 405-9. https://izlik.org/JA32XX68ZT.
EndNote
Dundar E, Türkmen MR (October 1, 2019) On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces. Konuralp Journal of Mathematics 7 2 405–409.
IEEE
[1]E. Dundar and M. R. Türkmen, “On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces”, Konuralp J. Math., vol. 7, no. 2, pp. 405–409, Oct. 2019, [Online]. Available: https://izlik.org/JA32XX68ZT
ISNAD
Dundar, Erdinç - Türkmen, Muhammed Recai. “On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 405-409. https://izlik.org/JA32XX68ZT.
JAMA
1.Dundar E, Türkmen MR. On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces. Konuralp J. Math. 2019;7:405–409.
MLA
Dundar, Erdinç, and Muhammed Recai Türkmen. “On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 405-9, https://izlik.org/JA32XX68ZT.
Vancouver
1.Erdinç Dundar, Muhammed Recai Türkmen. On $\mathcal{I}_2$-Convergence and $\mathcal{I}_2^{*}$-Convergence of Double Sequences in Fuzzy Normed Spaces. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):405-9. Available from: https://izlik.org/JA32XX68ZT
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