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Hamid Khodaei

Hamid Khodaei

Academic rank: Associate Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings
Type
JournalPaper
Keywords
Fuzzy number-valued mapping, stability, Pexiderized Cauchy-Jensen equation, fuzzy analysis
Year
2022
Journal Iranian Journal of Fuzzy Systems
DOI
Researchers Farshid Mirzaee ، Hamid Khodaei

Abstract

We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric de ned on a fuzzy number space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.