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Research Article | Open Access

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
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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.

Keywords

fuzzy normed spacecubic functional equationHyers-Ulam-Rassias stabilityfuzzy continuity
CLC number: 46S40, 39B52, 34D99

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8574-8587
DOI: 10.3934/math.2022478

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Cite this article:
Lu L, Wu J. Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces. AIMS Mathematics, 2022, 7(5): 8574-8587. https://doi.org/10.3934/math.2022478

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Received: 21 December 2021
Revised: 08 February 2022
Accepted: 16 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)