TY - JOUR
A2 - Calvert, Bruce
AU - Eshaghi Gordji, M.
AU - Rassias, J. M.
AU - Ghobadipour, N.
PY - 2009
DA - 2009/07/06
TI - Generalized Hyers-Ulam Stability of Generalized -Derivations
SP - 437931
VL - 2009
AB - Let 3≤n, and 3≤k≤n be positive integers. Let A be an algebra and let X be an A-bimodule. A ℂ-linearmapping d:A→X is called a generalized (n,k)-derivation ifthere exists a (k−1)-derivation δ:A→X such thatd(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 isto prove the generalized Hyers-Ulam stability of the generalized(n,k)-derivations.
SN - 1085-3375
UR - https://doi.org/10.1155/2009/437931
DO - 10.1155/2009/437931
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -