Stability and Superstability of Generalized (θ, ϕ)-Derivations in Non-Archimedean Algebras : Fixed Point Theorem via the Additive Cauchy Functional Equation
Joint Authors
Gordji, Madjid Eshaghi
Kim, Gwang Hui
Ghaemi, M. B.
Alizadeh, Badrkhan
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let A be an algebra, and let θ, ϕ be ring automorphisms of A.
An additive mapping H:A→A is called a (θ,ϕ)-derivation if H(xy)=H(x)θ(y)+ϕ(x)H(y) for all x,y∈A.
Moreover, an additive mapping F:A→A is said to be a generalized (θ,ϕ)-derivation if there exists a (θ,ϕ)-derivation H:A→A such that F(xy)=F(x)θ(y)+ϕ(x)H(y) for all x,y∈A.
In this paper, we investigate the superstability of generalized (θ,ϕ)-derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchy’s functional equation.
American Psychological Association (APA)
Gordji, Madjid Eshaghi& Ghaemi, M. B.& Kim, Gwang Hui& Alizadeh, Badrkhan. 2011. Stability and Superstability of Generalized (θ, ϕ)-Derivations in Non-Archimedean Algebras : Fixed Point Theorem via the Additive Cauchy Functional Equation. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-493714
Modern Language Association (MLA)
Gordji, Madjid Eshaghi…[et al.]. Stability and Superstability of Generalized (θ, ϕ)-Derivations in Non-Archimedean Algebras : Fixed Point Theorem via the Additive Cauchy Functional Equation. Journal of Applied Mathematics No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-493714
American Medical Association (AMA)
Gordji, Madjid Eshaghi& Ghaemi, M. B.& Kim, Gwang Hui& Alizadeh, Badrkhan. Stability and Superstability of Generalized (θ, ϕ)-Derivations in Non-Archimedean Algebras : Fixed Point Theorem via the Additive Cauchy Functional Equation. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-493714
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493714