A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations

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...

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Bibliographic Details
Main Authors: Yang-Hi Lee, Soon-Mo Jung
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/643969
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