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Generalized hyperstability of the Jensen functional equation in ultrametric spaces

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Abstract

The aim of this paper is to investigate the generalized hyperstability for the Jensen functional equation in ultrametric Banach spaces using the fixed point method derived from Bahyrycz and Piszczek (Acta Math Hungar 142:353–365, 2014), Brzdȩk (Acta Math Hungar 141:58–67, 2013), and (Fixed Point Theory Appl 2013:285, 2013). The obtained results generalize the existing ones in Alamahalebi and Chahbi (Aequat Math 91:647–661, 2017).

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Acknowledgements

The author is very thankful to the referee for valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, BP 133, Kenitra, Morocco

    Muaadh Almahalebi

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  1. Muaadh Almahalebi
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Correspondence to Muaadh Almahalebi.

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Almahalebi, M. Generalized hyperstability of the Jensen functional equation in ultrametric spaces. J Anal 26, 1–8 (2018). https://doi.org/10.1007/s41478-017-0060-7

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  • DOI: https://doi.org/10.1007/s41478-017-0060-7

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