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Exact(8)
Let be an additive mapping such that (2.60).
Let be an additive mapping such that for all and all Then the mapping is -linear.
Every solution of the functional equations (1.1) and (1.2) is said to be an additive mapping.
In particular, every solution of the Cauchy additive functional equation is said to be an additive mapping.
Let and be linear spaces and be an additive mapping such that for all and all Then the mapping is -linear.
Let (f A rightarrow B) be an additive mapping such that (f(mu x) = mu f(x)) for all (xin A) and (muin{mathbf{T}}^{1}).
Similar(52)
So, is an additive mapping.
Therefore is an additive mapping.
Then f is an additive mapping.
By Lemma 2.1, the mapping is an additive mapping.
So, the mapping A : X → Y is an additive mapping.
More suggestions(15)
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