A study of fuzzy anti-λ-ideal convergent triple sequence spaces

References

[1] T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math. 11 (2003), no. 3, 687–705. Search in Google Scholar

[2] S. C. Cheng and J. N. Mordeson, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Calcutta Math. Soc. 86 (1994), no. 5, 429–436. Search in Google Scholar

[3] S. Debnath, B. Sarma and B. C. Das, Some generalized triple sequence spaces of real numbers, J. Nonlinear Anal. Optim. 6 (2015), no. 1, 71–78. Search in Google Scholar

[4] A. J. Dutta, A. Esi and B. C. Tripathy, Statistically convergent triple sequence spaces defined by Orlicz function, J. Math. Anal. 4 (2013), no. 2, 16–22. Search in Google Scholar

[5] A. Esi, On some triple almost lacunary sequence spaces defined by orlicz functions, Res. Rev. Discrete Math. Structures 1 (2014), 16–25. Search in Google Scholar

[6] A. Esi and C. M. Necdet, Almost convergence of triple sequences, Glob. J. Math. Anal. 2 (2014), 6–10. 10.14419/gjma.v2i1.1709Search in Google Scholar

[7] A. Esi and E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space, Appl. Math. Inf. Sci. 9 (2015), no. 5, 2529–2534. Search in Google Scholar

[8] H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241–244. 10.4064/cm-2-3-4-241-244Search in Google Scholar

[9] C. Felbin, The completion of a fuzzy normed linear space, J. Math. Anal. Appl. 174 (1993), no. 2, 428–440. 10.1006/jmaa.1993.1128Search in Google Scholar

[10] I. H. Jebril and T. K. Samanta, Fuzzy anti-normed linear space, J. Math. Technol. (2010), 66–77. Search in Google Scholar

[11] A. K. Katsaras, Fuzzy topological vector spaces. II, Fuzzy Sets and Systems 12 (1984), no. 2, 143–154. 10.1016/0165-0114(84)90034-4Search in Google Scholar

[12] V. A. Khan, I-convergent difference sequence spaces defined by compact operator and sequence of moduli, ICIC Express Lett. 13 (2019), 907–912. Search in Google Scholar

[13] V. A. Khan, On I-convergent triple sequence spaces defines by a compact operator and orlicz function, TWMS J. Appl. Eng. Math. 11 (2021), 1022–1022. Search in Google Scholar

[14] V. A. Khan and M. I. Idrisi, Some fuzzy anti λ-ideal convergent double sequence spaces, J. Intell. Fuzzy Syst. 38 (2020), 1617–1622. 10.3233/JIFS-182575Search in Google Scholar

[15] V. A. Khan and N. Khan, I-pre-Cauchy sequences and Orlicz functions, Eng. Sci. Res. 5 (2013), 52–56. 10.4236/eng.2013.55A008Search in Google Scholar

[16] V. A. Khan, K. Ebadullah, A. Esi, N. Khan and M. Shafiq, On paranorm Zweier I-convergent sequence spaces, J. Math. 2013 (2013), Article ID 613501. 10.1155/2013/613501Search in Google Scholar

[17] V. A. Khan, M. I. Idrisi and U. Tuba, On ideal convergence of triple sequences in intuitionistic fuzzy normed space defined by compact operator, Proyecciones 40 (2021), no. 5, 1227–1247. 10.22199/issn.0717-6279-3614Search in Google Scholar

[18] V. A. Khan and N. Khan, On Zweier I-convergent double sequence spaces, Filomat 30 (2016), no. 12, 3361–3369. 10.2298/FIL1612361KSearch in Google Scholar

[19] L. D. R. Kočinac, Some topological properties of fuzzy antinormed linear spaces, J. Math. 2018 (2018), Article ID 9758415. 10.1155/2018/9758415Search in Google Scholar

[20] P. Kostyrko, T. Šalát and W. Wilczyński, ℐ -convergence, Real Anal. Exchange 26 (2000/01), no. 2, 669–685. 10.2307/44154069Search in Google Scholar

[21] S. A. Mohiuddine, A. Alotaibi and S. M. Alsulami, Ideal convergence of double sequences in random 2-normed spaces, Adv. Difference Equ. 2012 (2012), Paper No. 149. 10.1186/1687-1847-2012-149Search in Google Scholar

[22] K. Raj, K. Saini and A. Choudhary, Orlicz lacunary sequence spaces of l-fractional difference operators, J. Appl. Anal. 26 (2020), no. 2, 173–183. 10.1515/jaa-2020-2018Search in Google Scholar

[23] R. Saadati and S. M. Vaezpour, Some results on fuzzy Banach spaces, J. Appl. Math. Comput. 17 (2005), no. 1–2, 475–484. 10.1007/BF02936069Search in Google Scholar

[24] A. Şahiner, M. Gürdal and F. K. Düden, Triple sequences and their statistical convergence, Selçuk J. Appl. Math. 8 (2007), no. 2, 49–55. Search in Google Scholar

[25] A. Sahiner and B. C. Tripathy, Some ℐ -related properties of triple sequences, Selçuk J. Appl. Math. 9 (2008), no. 2, 9–18. Search in Google Scholar

[26] T. Šalát, B. C. Tripathy and M. Ziman, On some properties of I-convergence, Tatra Mt. Math. Publ. 28 (2004), 279–286. Search in Google Scholar

[27] I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361–375. 10.2307/2308747Search in Google Scholar

[28] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353. 10.1016/S0019-9958(65)90241-XSearch in Google Scholar