Hyers Stability and Multi-Fuzzy Banach Algebra

Parvaneh Lo′lo′, Ehsan Movahednia and Manuel De la Sen
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Parvaneh Lo′lo′: Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan 6361647189, Iran
Ehsan Movahednia: Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan 6361647189, Iran
Manuel De la Sen: Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), 48080 Bilbao, Spain

Mathematics, 2021, vol. 10, issue 1, 1-13

Abstract: In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if f : A → A is an approximately involution on multi-fuzzy Banach algebra A , then there exists an involution H : A → A which is near to f . In addition, under some conditions on f , the algebra A has multi C * -algebra structure with involution H .

Keywords: stability; multi fuzzy Banach algebra; fixed point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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