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On the stability of a radical cubic functional equation in quasi-\({\beta}\)-spaces

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Abstract

In this paper, we introduce and solve the radical cubic functional equation

$$f\left({\sqrt[3]{x^{3} + y^{3}}}\right)= f(x) + f(y).$$

We also establish stability in quasi-\({\beta}\)-Banach spaces, and then the stability by using subadditive and subquadratic functions for the radical cubic functional equation in (\({\beta}\), p)-Banach spaces is given.

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Authors and Affiliations

  1. Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran

    Z. Alizadeh & A. G. Ghazanfari

Authors
  1. Z. Alizadeh
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  2. A. G. Ghazanfari
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Correspondence to Z. Alizadeh.

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Alizadeh, Z., Ghazanfari, A.G. On the stability of a radical cubic functional equation in quasi-\({\beta}\)-spaces. J. Fixed Point Theory Appl. 18, 843–853 (2016). https://doi.org/10.1007/s11784-016-0317-9

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  • DOI: https://doi.org/10.1007/s11784-016-0317-9

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