Generalized Hyers-Ulam Stability of Generalized (N,K)-Derivations
Joint Authors
Rassias, John Michael
Gordji, Madjid Eshaghi
Ghobadipour, N.
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let 3≤n, and 3≤k≤n be positive integers.
Let A be an algebra and let X be an A-bimodule.
A ℂ-linear mapping d:A→X is called a generalized (n,k)-derivation if there exists a (k−1)-derivation δ:A→X such that d(a1a2⋯an)=δ(a1)a2⋯an+a1δ(a2)a3⋯an+⋯+a1a2⋯ak−2δ(ak−1)ak⋯an+a1a2⋯ak−1d(ak)ak+1⋯an+a1a2⋯akd(ak+1)ak+2⋯an+a1a2⋯ak+1d(ak+2)ak+3⋯an+⋯+a1⋯an−1d(an) for all a1,a2,…,an∈A.
The main purpose of this paper is to prove the generalized Hyers-Ulam stability of the generalized (n,k)-derivations.
American Psychological Association (APA)
Gordji, Madjid Eshaghi& Rassias, John Michael& Ghobadipour, N.. 2009. Generalized Hyers-Ulam Stability of Generalized (N,K)-Derivations. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-472310
Modern Language Association (MLA)
Gordji, Madjid Eshaghi…[et al.]. Generalized Hyers-Ulam Stability of Generalized (N,K)-Derivations. Abstract and Applied Analysis No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-472310
American Medical Association (AMA)
Gordji, Madjid Eshaghi& Rassias, John Michael& Ghobadipour, N.. Generalized Hyers-Ulam Stability of Generalized (N,K)-Derivations. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-472310
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472310
