Ulam stability of two fuzzy number-valued functional equations

Zhenyu Jin; Jianrong Wu; Zhenyu Jin; Jianrong Wu

doi:10.3934/math.2020324

AIMS Mathematics

2020, Volume 5, Issue 5: 5055-5062. doi: 10.3934/math.2020324

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Research article

Ulam stability of two fuzzy number-valued functional equations

Zhenyu Jin ,
Jianrong Wu ^,

College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. China

Received: 13 April 2020 Accepted: 01 June 2020 Published: 10 June 2020
MSC : 39B82, 03E72, 39B72

In this paper, the Ulam stability of two fuzzy number-valued functional equations in Banach spaces is investigated by using the metric defined on a fuzzy number space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed.
- Ulam stability,
- functional equations,
- fuzzy number-valued mapping,
- Banach space
Citation: Zhenyu Jin, Jianrong Wu. Ulam stability of two fuzzy number-valued functional equations[J]. AIMS Mathematics, 2020, 5(5): 5055-5062. doi: 10.3934/math.2020324

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Abstract

In this paper, the Ulam stability of two fuzzy number-valued functional equations in Banach spaces is investigated by using the metric defined on a fuzzy number space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed.

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