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Approximate Solution of P-Radical Functional Equation in 2-Banach Spaces

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Abstract

The aim of this paper is to introduce and solve the p-radical functional equation

$$f\left( {\sqrt[p]{{x^p + y^p }}} \right) = f\left( x \right) + f\left( y \right),p \in \mathbb{N}_2 .$$

We also state an analogue of the fixed point theorem [12, Theorem 1] in 2-Banach spaces and investigate stability for this equation in 2-Banach spaces.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco

    Muaadh Almahalebi

  2. Department of Mathematics, Faculty of Sciences, University of Ibn Zohr, Agadir, Morocco

    Abdellatif Chahbi

Authors
  1. Muaadh Almahalebi
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  2. Abdellatif Chahbi
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Correspondence to Muaadh Almahalebi.

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Almahalebi, M., Chahbi, A. Approximate Solution of P-Radical Functional Equation in 2-Banach Spaces. Acta Math Sci 39, 551–566 (2019). https://doi.org/10.1007/s10473-019-0218-2

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  • DOI: https://doi.org/10.1007/s10473-019-0218-2

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