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On the stability of radical septic functional equations

Author

Listed:
  • Emanuel Guariglia

    (Institute of Biosciences, Letters and Exact Sciences, São Paulo State University (UNESP), São José do Rio Preto, SP 15054-000, Brazil)

  • Kandhasamy Tamilvanan

    (Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamil Nadu 635 001, India)

Abstract

This paper deals with the approximate solution of the following functional equation f x 7 + y 7 7 = f ( x ) + f ( y ) , where f is a mapping from R into a normed vector space. We show stability results of this equation in quasi- β -Banach spaces and ( β , p ) -Banach spaces. We also prove the nonstability of the previous functional equation in a relevant case.

Suggested Citation

  • Emanuel Guariglia & Kandhasamy Tamilvanan, 2020. "On the stability of radical septic functional equations," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2229-:d:462814
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    References listed on IDEAS

    as
    1. 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, Hindawi, vol. 2012, pages 1-10, April.
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    Cited by:

    1. P. Agilan & Mohammed M. A. Almazah & K. Julietraja & Ammar Alsinai, 2023. "Classical and Fixed Point Approach to the Stability Analysis of a Bilateral Symmetric Additive Functional Equation in Fuzzy and Random Normed Spaces," Mathematics, MDPI, vol. 11(3), pages 1-19, January.

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