Cauchy functional equation and generalized continuity
نویسندگان
چکیده
منابع مشابه
Approximate solutions of homomorphisms and derivations of the generalized Cauchy-Jensen functional equation in $C^*$-ternary algebras
In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternat...
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ژورنال
عنوان ژورنال: Tatra Mountains Mathematical Publications
سال: 2009
ISSN: 1210-3195
DOI: 10.2478/v10127-009-0043-4