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Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces

Author

Listed:
  • M. Eshaghi Gordji
  • S. Zolfaghari
  • J. M. Rassias
  • M. B. Savadkouhi

Abstract

We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation in quasi-Banach spaces.

Suggested Citation

  • M. Eshaghi Gordji & S. Zolfaghari & J. M. Rassias & M. B. Savadkouhi, 2009. "Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-14, August.
    • Handle: RePEc:hin:jnlaaa:417473
    DOI: 10.1155/2009/417473
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    Citations

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    Cited by:

    1. H. Azadi Kenary & H. Rezaei & S. Talebzadeh & S. Jin Lee, 2012. "Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. M. Eshaghi Gordji & H. Azadi Kenary & H. Rezaei & Y. W. Lee & G. H. Kim, 2012. "Solution and Hyers‐Ulam‐Rassias Stability of Generalized Mixed Type Additive‐Quadratic Functional Equations in Fuzzy Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Ravi P. Agarwal & Yeol Je Cho & Reza Saadati, 2011. "On Random Topological Structures," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. M. Eshaghi Gordji & R. Khodabakhsh & S.-M. Jung & H. Khodaei, 2010. "AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    5. M. Eshaghi Gordji & M. Kamyar & Th. M. Rassias, 2011. "General Cubic‐Quartic Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    6. Ajda Fošner & Maja Fošner, 2013. "Approximate Cubic Lie Derivations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. M. Eshaghi Gordji & H. Khodaei & A. Ebadian & G. H. Kim, 2012. "Nearly Radical Quadratic Functional Equations in p‐2‐Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    8. M. Eshaghi Gordji & G. H. Kim, 2012. "Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. M. Bidkham & H. A. Soleiman Mezerji & M. Eshaghi Gordji, 2011. "Hyers‐Ulam Stability of Power Series Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    10. M. Eshaghi Gordji & M. B. Ghaemi & G. H. Kim & Badrkhan Alizadeh, 2011. "Stability and Superstability of Generalized (θ, ϕ)‐Derivations in Non‐Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    11. M. Eshaghi Gordji & H. Khodaei & Gwang Hui Kim, 2012. "Nearly Quadratic Mappings over p‐Adic Fields," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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