Partial stabilities and partial derivations of n-variable functions
We introduce the concepts of the partial derivations of a function from a normed algebra A(1) x ... x A(n) into a Banach algebra B and prove the Hyers-Ulam-Rassias stability of the function. Moreover, we obtain some results about the applications of derivations such as the extended derivations and the approximately higher derivations. (C) 2009 Elsevier Ltd. All rights reserved.
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Issue Date
- 2010-02
- Language
- English
- Article Type
- Article
- Keywords
HYERS-ULAM-RASSIAS; RING DERIVATIONS; BANACH-SPACES; EQUATION; ALGEBRAS
- Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.72, no.3-4, pp.1531 - 1541
- ISSN
- 0362-546X
- Appears in Collection
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