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Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed point theorem

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Abstract

In this paper, we investigate some stability and hyperstability results for the following quadratic functional equation:

$$\begin{aligned} f(x+y)+f(x-y)=2f(x)+2f(y) \end{aligned}$$

in 2-Banach spaces using Brzdȩk’s fixed point approach.

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Authors and Affiliations

  1. MAE2D Laboratory, University Abdelmalek Essaadi, Poly Disciplinary Faculty of Larache, Tétouan, Morocco

    Khaled Yahya Naif Sayar & Amal Bergam

  2. Department of Mathematics, Faculty of Science, Sana’a University, Sanaa, Yemen

    Khaled Yahya Naif Sayar

Authors
  1. Khaled Yahya Naif Sayar
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  2. Amal Bergam
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Correspondence to Khaled Yahya Naif Sayar.

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Sayar, K.Y.N., Bergam, A. Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed point theorem. J. Fixed Point Theory Appl. 22, 3 (2020). https://doi.org/10.1007/s11784-019-0739-2

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  • DOI: https://doi.org/10.1007/s11784-019-0739-2

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