On Ulam's Type Stability of the Cauchy Additive Equation
We prove a general result on Ulam's type stability of the functional equation fx+y=fx+fy, in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes. Moreover, we also show how to use that result to improve so...
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/540164 |