A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Keyword(s):
We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations. This uniqueness theorem can replace the repeated proofs for uniqueness of the relevant solutions of given equations while we investigate the stability of functional equations.
2003 ◽
Vol 2003
(1)
◽
pp. 15-26
◽
2013 ◽
Vol 59
(2)
◽
pp. 299-320
Keyword(s):
Keyword(s):
Keyword(s):