Local stability of mappings on multi-normed spaces

Local stability of mappings on multi-normed spaces

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 bound...

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Bibliographic Details
Main Authors: Choonkil Park, Batool Noori, M. B. Moghimi, Abbas Najati, J. M. Rassias
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Multi-normed space
Hyers–Ulam stability
Cauchy functional equation
Online Access:http://link.springer.com/article/10.1186/s13662-020-02858-9

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