On approximate cubic homomorphisms

2009/03/05 by M‎. ‎Eshaghi Gordji, Gordji, M. Eshaghi, M. Bavand Savadkouhi +1
Mathematics · #46H25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.0903.1066

openalex publication_date 2009/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the generalized Hyers--Ulam--Rassias stability of the system of functional equations f(xy)=f(x)f(y), . f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x), on Banach algebras. Indeed we establish the superstability of above system by suitable control functions.

Citations

• On the stability of the linear mapping in Banach spaces

Related

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• Stability of a mixed type quadratic, cubic and quartic functional equation
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• Hyers-Ulam-Rassias stability of functional equations with parameters