Stability of the Jensen type functional equation in Banach algebras: a fixed point approach

Park, Choonkil; Park, Won-Gil; Lee, Jung Rye; Rassias, Themistocles M.

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Stability of the Jensen type functional equation in Banach algebras: a fixed point approach

Park, Choonkil;
Park, Won-Gil;
Lee, Jung Rye;
Rassias, Themistocles M.

초록

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the following Jensen type functional equation:f[수식]+f[수식]=f(x).

키워드

Jensen type functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra.

제목: Stability of the Jensen type functional equation in Banach algebras: a fixed point approach

저자: Park, Choonkil; Park, Won-Gil; Lee, Jung Rye; Rassias, Themistocles M.

발행일: 2011-07

저널명: 한국수학논문집

권: 19

호: 2

페이지: 149 ~ 161