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학술저널

ON THE HYERS-ULAM STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY

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In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality kf(x 􀀀 y) + f(y 􀀀 z) + f(z)k  kf(x)k in Banach spaces.

1. Introduction and preliminaries

2. Hyers-Ulam stability in Banach spaces

3. Hyers-Ulam stability using xed point methods

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