A note on Ulam stability of some fuzzy number-valued functional equations

This note investigates the Ulam stability of the following fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzy number space:f(x+y2)+f(x−y2)=f(x)andf(ax+by)=rf(x)+sf(y).

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Bibliographic Details
Published inFuzzy sets and systems Vol. 375; pp. 191 - 195
Main Authors Wu, Jian-Rong, Jin, Zhen-Yu
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.11.2019
Subjects
Functional equation
Fuzzy analysis
Fuzzy number-valued mapping
Ulam stability
Fuzzy number-valued mapping
Fuzzy analysis
Ulam stability
Functional equation
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Summary:This note investigates the Ulam stability of the following fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzy number space:f(x+y2)+f(x−y2)=f(x)andf(ax+by)=rf(x)+sf(y).
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2018.10.018