On the stability of generalized additive functional inequalities in Banach spaces

초록

We study the following generalized additive functional inequality parallel to af(x) + bf(y) + cf (z)parallel to <= parallel to f(alpha x + beta y + gamma z)parallel to, associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear mappings in Banach spaces.

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