Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces

Lingxiao Lu; Jianrong Wu; Lingxiao Lu; Jianrong Wu

doi:10.3934/math.2022478

AIMS Mathematics

2022, Volume 7, Issue 5: 8574-8587. doi: 10.3934/math.2022478

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Research article

Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces

Lingxiao Lu ,
Jianrong Wu ^,

College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China

Received: 21 December 2021 Revised: 08 February 2022 Accepted: 16 February 2022 Published: 01 March 2022
MSC : 46S40, 39B52, 34D99

In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the fixed point method in fuzzy normed spaces. Moreover, the fuzzy continuity of the solution of the functional equation is discussed.
- fuzzy normed space,
- cubic functional equation,
- Hyers-Ulam-Rassias stability,
- fuzzy continuity
Citation: Lingxiao Lu, Jianrong Wu. Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces[J]. AIMS Mathematics, 2022, 7(5): 8574-8587. doi: 10.3934/math.2022478

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Abstract

In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the fixed point method in fuzzy normed spaces. Moreover, the fuzzy continuity of the solution of the functional equation is discussed.

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