Stability of Fibonacci Functional Equation
DOI:
https://doi.org/10.24297/jam.v14i1.7050Keywords:
Fibonacci Functional EquationAbstract
In this paper, we solve the Fibonacci functional equation, f(x)=f(x-1)+f(x-2) and discuss its generalized Hyers-Ulam-Rassias stability in Banach spaces and stability in Fuzzy normed space.
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References
[1] Hyers, D.H., Isac, G. and Rassias, Th.M., On the asymptoticity aspect of Hyers–Ulam stability of mappings, Proc. Amer. Math. Soc. 126 (1998) 425–430.
[2] Hyers, D.H., Isac, G. and Rassias, Th.M., Stability of Functional Equations in Several Variables, Birkhäuser, Basel, 1998.
[3] Hyers, D.H., On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941) 222–224.
[4] Hyers,D.H. and Rassias, Th.M. Approximate homomorphisms, Aequationes Math. 44 (1992) 125–153.
[5] Rassias, T.M. On the Stability of Functional Equations and a Problem of Ulam, Acta Appl. Math., 62(2000), 123- 130.
[6] Rassias, Th. M., On the stability of functional equations in Banach spaces, J. Math. Anal. Appl. 251 (2000) 264–284.
[7] Rassias, Th.M., On the stability of the linear mapping in Banach spaces, Proc. Amer. Math.Soc. 72 (1978) 297–300.
[8] Ulam, S.M., A Collection of the Mathematical Problems, Interscience Publ. New York, 1960.
[9] Ulam, S.M., Problems in Modern Mathematics, John Wiley & Sons, New York, USA, 1964.
[10] S.M.Jung., Hyers-Ulam stability of Fibonacci functional equation, Bulletin of Iranian Mathematical society, 35(2),2009, 217-227.
[11] M.N.Parizi and M.E.Gordji, Hyers-Ulam stability of Fibonacci functional equation in Modular functional spaces, Journal of mathematics and computer science, 10(2014) 1-6.
[2] Hyers, D.H., Isac, G. and Rassias, Th.M., Stability of Functional Equations in Several Variables, Birkhäuser, Basel, 1998.
[3] Hyers, D.H., On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941) 222–224.
[4] Hyers,D.H. and Rassias, Th.M. Approximate homomorphisms, Aequationes Math. 44 (1992) 125–153.
[5] Rassias, T.M. On the Stability of Functional Equations and a Problem of Ulam, Acta Appl. Math., 62(2000), 123- 130.
[6] Rassias, Th. M., On the stability of functional equations in Banach spaces, J. Math. Anal. Appl. 251 (2000) 264–284.
[7] Rassias, Th.M., On the stability of the linear mapping in Banach spaces, Proc. Amer. Math.Soc. 72 (1978) 297–300.
[8] Ulam, S.M., A Collection of the Mathematical Problems, Interscience Publ. New York, 1960.
[9] Ulam, S.M., Problems in Modern Mathematics, John Wiley & Sons, New York, USA, 1964.
[10] S.M.Jung., Hyers-Ulam stability of Fibonacci functional equation, Bulletin of Iranian Mathematical society, 35(2),2009, 217-227.
[11] M.N.Parizi and M.E.Gordji, Hyers-Ulam stability of Fibonacci functional equation in Modular functional spaces, Journal of mathematics and computer science, 10(2014) 1-6.
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Published
2018-03-01
How to Cite
Stability of Fibonacci Functional Equation. (2018). JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7469–7474. https://doi.org/10.24297/jam.v14i1.7050
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