Local stability of mappings on multi-normed spaces

Choonkil Park; Batool Noori; M. B. Moghimi; Abbas Najati; J. M. Rassias

doi:10.1186/s13662-020-02858-9

Advances in Difference Equations (Aug 2020)

Local stability of mappings on multi-normed spaces

Choonkil Park,
Batool Noori,
M. B. Moghimi,
Abbas Najati,
J. M. Rassias

Affiliations

Choonkil Park: Department of Mathematics, Hanyang University
Batool Noori: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili
M. B. Moghimi: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili
Abbas Najati: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili
J. M. Rassias: Mathematics and Informatics Section, Pedagogical Department of Education, National and Kapodistrian University of Athens

DOI: https://doi.org/10.1186/s13662-020-02858-9
Journal volume & issue: Vol. 2020, no. 1
pp. 1 – 14

Abstract

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Abstract First we investigate the Hyers–Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we study the Hyers–Ulam stability of the functional equation f ( x y ) = x g ( y ) + h ( x ) y $f(xy)=xg(y)+h(x)y$ for mappings from bounded (unbounded) intervals into multi-normed spaces.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

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Abstract

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