Fixed points and the stability of the linear functional equations in a single variable

2022/05/10 by Liviu Cădariu, Cadariu, Liviu, Laura Manolescu +1
Engineering · Mathematics · #39B62 #39B72 #39B82 #47H10 #Advanced Control Systems Optimization #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2205.04784

openalex publication_date 2022/05/10 · openalex created_date 2023/02/13 · openalex updated_date 2026/07/28

Abstract

We prove that an interesting result concerning generalized Hyers-Ulam-Rassias stability of a linear functional equation obtained in 2014 by S.M. Jung, D. Popa and M.T. Rassias in Journal of Global Optimization is a particular case of a fixed point theorem given by us in 2012. Moreover, we give a characterization of functions that can be approximated with a given error, by the solution of the previously mention linear equation.

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