Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (2): 551-566.doi: 10.1007/s10473-019-0218-2

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APPROXIMATE SOLUTION OF P-RADICAL FUNCTIONAL EQUATION IN 2-BANACH SPACES

Muaadh ALMAHALEBI1, Abdellatif CHAHBI2   

  1. 1. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco;
    2. Department of Mathematics, Faculty of Sciences, University of Ibn Zohr, Agadir, Morocco
  • Received:2017-10-23 Revised:2018-06-14 Online:2019-04-25 Published:2019-05-06
  • Contact: Muaadh ALMAHALEBI E-mail:muaadh1979@hotmail.fr

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

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.

Key words: stability, hyperstability, 2-Banach spaces, p-radical functional equations

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