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1. A note on stability of Fischer-Muszély functional equation.

Author

Dong, Yunbai and Cheng, Qingjin

Subjects
*FUNCTIONAL equations, *DIFFERENTIAL-difference equations, *BANACH spaces, *VECTOR spaces, *MATHEMATICS
Abstract

Recently, Dong (Aequ Math 86:269-277, ) has proved the generalized stability of the functional equation $${\|f(x + y)\| = \|f(x) + f(y)\|}$$ under the assumption that X, the domain of f, is an Abelian group. In this paper, we prove a generalization of this result by removing the commutativity assumption of X. [ABSTRACT FROM AUTHOR]

Published
2015
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