Articles

APPROXIMATE SOLUTION OF A p-th ROOT FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN (2, β)-BANACH SPACES

  • Iz-iddine EL-FASSI ,
  • Hamid KHODAEI ,
  • Themistocles M. RASSIAS
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  • 1. Department of Mathematics, Faculty of Sciences, Ibn Tofaïl University, B. P. 133, Kenitra, Morocco;
    2. Department of Mathematics, Malayer University, P. O. Box 65719-95863, Malayer, Iran;
    3. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

Received date: 2018-04-11

  Revised date: 2018-06-17

  Online published: 2019-05-06

Abstract

In this paper, using the Brzd?k’s fixed point theorem [9, Theorem 1] in non-Archimedean (2, β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation

where p ∈ {1, …, 5}, a1, …, ak are fixed nonzero reals when p ∈ {1, 3, 5} and are fixed positive reals when p ∈ {2, 4}.

Cite this article

Iz-iddine EL-FASSI , Hamid KHODAEI , Themistocles M. RASSIAS . APPROXIMATE SOLUTION OF A p-th ROOT FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN (2, β)-BANACH SPACES[J]. Acta mathematica scientia, Series B, 2019 , 39(2) : 369 -381 . DOI: 10.1007/s10473-019-0203-9

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