On λ-Fibonacci statistical convergence of order- α in intuitionistic fuzzy normed spaces (IFNS)
*Pallavi BalouriaCorresponding authorpallavibalouria@gmail.comDepartment of MathematicsGharuanChandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Meenakshi Chawlachawlameenakshi7@gmail.comDepartment of MathematicsGharuanChandigarh UniversityMohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Jul 2024
- Published Online:
- 16 Dec 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2047
- Pages:
- 1827–1835
Abstract
Keywords
Subject Classifications
References
[1] H. Steinhaus, “Sur la convergence ordinaire ordonnée et la convergence asymptotique,” Colloq. Math., vol. 2, pp. 73–74 (1951).
[2] H. Fast, “Sur la convergence statistique,” Colloq. Math., vol. 2, pp. 241–244 (1951).
[3] L. Zadeh, “Fuzzy sets,” Information Control, vol. 8, pp. 338–353 (1965).
[4] A. Zygmund, Trigonometric Series, Cambridge, UK: Cambridge University Press (1979).
[5] K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20 (1986).
[6] S. Goonatilake, Toward a Global Science, Indiana University Press, p. 126 (1998).
[7] M. Mursaleen, “λ-statistical convergence,” Math. Slovaca, vol. 50, pp. 111–115, ( 2000).
[8] R. Bassanezi, P. Tonelli, and L. C. Barros, “Fuzzy modelling in population dynamics,” Ecol. Model., vol. 128, pp. 27–33 (2000).
[9] J. Park, “Intuitionistic fuzzy metric spaces,” Chaos Solitons Fractals, vol. 22, pp. 1039–1046 (2004).
[10] A. L. Fradkov and R. J. Evans, “Control of chaos: Methods and applications in engineering,” Chaos Solitons Fractals, vol. 29, pp. 33–36 (2005).
[11] R. Saadati and J. Park, “On the intuitionistic fuzzy topological spaces,” Chaos Solitons Fractals, vol. 27, pp. 331–344 (2006).
[12] L. Hong and J. Q. Sun, “Bifurcations of fuzzy nonlinear dynamical systems,” Commun. Nonlinear Sci. Numer. Simul., vol. 1, pp. 1–12 (2006).
[13] K. Kumar and V. Kumar, “On the I and I*-convergence of sequences in fuzzy normed spaces,” Advances in Fuzzy Sets, vol. 3, pp. 341–365 (2008).
[14] S. Karakus, K. Damirci, and O. Duman, “Statistical convergence on intuitionistic fuzzy normed spaces,” Chaos Solitons Fractals, vol. 35, pp. 763–769 (2008).
[15] M. Mohiuddine and M. Mursaleen, “On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space,” J. Comput. Appl. Math., vol. 233, pp. 142–149 (2009).
[16] B. Bektas and R. Çolak, “λ-statistical convergence of order alpha,” Acta Mathematica Scientia, vol. 31, pp. 953–959 (2011).
[17] E. E. Kara and İ. Başarir, “An application of Fibonacci numbers into infinite Toeplitz matrices,” Caspian J. Math. Sci., vol. 1, pp. 43–47 (2012).
[18] P. Kumar, V. Kumar, and S. Batia, “On Λ-statistical limit inferior and limit superior of order β for sequences of fuzzy numbers,” Gen., vol. 25, pp. 6–18 (2014).
[19] M. Kirişci, “Fibonacci statistical convergence on intuitionistic fuzzy normed spaces,” J. Intell. Fuzzy Syst., vol. 2019, p. 36 (2019).
[20] V. A. Khan, M. D. Ahmad, and M. Khan, “Some new type of lacunary statistically convergent sequences in neutrosophic normed space,” Neutrosophic Sets and Systems, vol. 42, p. 15 (2021).
[21] E. E. Kara and M. IIkhan, “Some properties of generalized Fibonacci sequence spaces,” Linear Multilinear Algebra, vol. 64, pp. 2208–2222 (2016).




