Acta Mathematica Hungarica

, Volume 158, Issue 1, pp 40–52 | Cite as

Some notes on the Ulam stability of the general linear equation

  • T. Phochai
  • S. SaejungEmail author


We discuss the hyperstability outcome given by Aiemsomboon and Sintunavarat [1] and concerning the general linear equation. We give a simple proof of it via the hyperstability result for the Cauchy equation. Our proof is based on Brzdęk’s fixed point theorem. Moreover, we use a weaker assumption.

Key words and phrases

hyperstability general linear equation Cauchy equation 

Mathematics Subject Classification

primary 39B82 39B62 secondary 47H14 47J20 


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The authors thank the referee for comments and suggestions on our first version of the manuscript.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceKhon Kaen UniversityKhon KaenThailand
  2. 2.Research Center for Environmental and Hazardous Substance ManagementKhon Kaen UniversityKhon KaenThailand

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