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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 5

APPROXIMATE QUADRATIC FUNCTIONAL EQUATION IN FELBIN'S TYPE NORMED LINEAR SPACES

Fridoun MORADLOU
Saber REZAEE
Ildar SADEQİ
Sayfa
501–516
Yayın Tarihi
2022-10-18
DOI
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Soc. 72 (1978), 297-300.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we prove the generalized Hyers-Ulam-Rassias stability ofquadratic functional equation in Felbin's type normed linear spaces byusing the direct and fixed point methods.
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Temel Bulgular & Veri:The concept of Hyers-UlamRassias stability originated from Th.
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Sonuç & Katkı:Soc. 72 (1978), 297-300.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we prove the generalized Hyers-Ulam-Rassias stability ofquadratic functional equation in Felbin's type normed linear spaces byusing the direct and fixed point methods. The concept of Hyers-UlamRassias stability originated from Th. M. Rassias' stability theorem thatappeared in his paper: On the stability of the linear mapping in Banachspaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.

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Bu Makaleye Atıf Yap

MORADLOU, F., REZAEE, S., SADEQİ, I. (2022). APPROXIMATE QUADRATIC FUNCTIONAL EQUATION IN FELBIN'S TYPE NORMED LINEAR SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 5, 501–516. https://ajindex.com/articles/530432

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Kaynakça (19)

  1. Acz´el, J., Dhombres, J. Functional Equations in Several Variables, Cambridge University Press, 1989
  2. Aoki, T. On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2, 64-66, 1950
  3. Bag, T. and Samanta, S. K. Fixed point theorems in Felbin type fuzzy normed linear spaces, J. Fuzzy Math. 16(1), 243-260, 2008
  4. Bag, T., Samanta, S. K. A comparative study of fuzzy norms on a linear space, Fuzzy Sets Syst. 159(6), 670-684, 2008
  5. Baker, J. A. The stability of certain functional equations, Proc. Amer. Math. Soc., 112, 729-732, 1991
  6. Borelli, C., Forti, G.L. On a general Hyers-Ulam stability result, Internat. J. Math. Math. Sci. 18, 229-236, 1995
  7. Bourgin, D.G. Classes of transformations and bordering transformations, Bull. Amer. Math. Soc. 57, 223-237, 1951
  8. C?adariu, L., Radu, V. Fixed points and the stability of quadratic functional equations, An. Univ. Timi¸soara, Ser. Mat.-Inform. 41, 25-48, 2003
  9. Czerwik, S. The stability of the quadratic functional equation, in: Th. M. Rassias, J. Tabor (Eds.), Stability of Mappings of Hyers-Ulam Type, Hadronic Press, Florida, 81-91, 1994
  10. Czerwik, S. Functional Equations and Inequalities in Several Variables, World Scientific Publ.Co., New Jersey, London, Singapore, 2002
  11. Diaz, J., Margolis, B. A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc. 74, 305-309, 1968
  12. Eskandani, G.Z. On the Hyers-^uUlam-^uRassias stability of an additive functional equation in quasi-Banach spaces, J. Math. Anal. Appl. 345, 405-409, 2008
  13. Faizev, V.A., Rassias, Th. M., Sahoo, P.K. The space of (?, ?) - additive mappings on semigroups, Transactions of the Amer. Math. Soc. 354(11), 4455-4472, 2002
  14. Felbin, C. Finite dimensional fuzzy normed linear spaces, Fuzzy Sets Syst. 48, 239-248, 1992
  15. Gantner, T., Steinlage, R., Warren, R. Compactness in fuzzy topological spaces, J. Math. Anal. Appl. 62, 547-562, 1978
  16. G?avruta, P. A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J. Math. Anal. Appl. 184, 431-436, 1994
  17. Hoehle, U. Fuzzy real numbers as Dedekind cuts with respect to a multiple-valued logic, Fuzzy Sets Syst. 24, 263-278, 1987
  18. Hyers, D. H. On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A. 27, 222-224, 1941
  19. Hyers, D. H., Isac, G., Rassias, Th. M. Stability of Functional Equations in Several V