Hyers Stability and Multi-Fuzzy Banach Algebra

Parvaneh Lo′lo′; Ehsan Movahednia; Manuel De la Sen

doi:10.3390/math10010106

Mathematics (Dec 2021)

Hyers Stability and Multi-Fuzzy Banach Algebra

Parvaneh Lo′lo′,
Ehsan Movahednia,
Manuel De la Sen

Affiliations

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

DOI: https://doi.org/10.3390/math10010106
Journal volume & issue: Vol. 10, no. 1
p. 106

Abstract

Read online

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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

About the journal

Abstract

Keywords