On the Hyers-Ulam-Rassias stability of an additive-cubic functional equation

Jin, Sun-Sook; Lee, Yang‐Hi

doi:10.12988/ijma.2019.9320

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Stability Of Functional Equations (1) and (2)1

Introduction1

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2021

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“…To prove the uniqueness of the additive mapping T, assume that there exists another additive mapping S: X ⟶ Y which satisfies (7). Since DT(x, y) � 0, we have T(ax + by) � rT(x) + sT(y).…”

Section: Stability Of Functional Equations (1) and (2)mentioning

confidence: 99%

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Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces

2021

Journal of Mathematics

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In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, f a x + b y = r f x + s f y and f x + y + z = 2 f x + y / 2 + f z , are investigated in the framework of fuzzy normed spaces.

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Section: Stability Of Functional Equations (1) and (2)mentioning

confidence: 99%

“…e reader is referred to [4][5][6][7][8] and references therein for detailed information on the stability of functional equations.…”

Section: Introductionmentioning

confidence: 99%