DOI: 10.24193/fpt-ro.2024.1.13

Authors: Parvaneh Lo'lo', Ehsan Movahednia and Manuel De La Sen

Abstract: The ultimate goal of this paper is to investigate the approximation of involution in fuzzy C*- algebra. If A is fuzzy Banach algebra and f is function which defined on it, we prove that under conditions A has unique involution. In this case, fuzzy Banach algebra A can be evolute to Fuzzy C*- algebra. For this purpose, we use the Hyers-Ulam-Rassias stability method and the fixed point technique.

Key Words and Phrases: Stability functional equation, fuzzy normed algebra, fixed point theory, C*-algebra, Hyers-Ulam-Rassias stability.

2010 Mathematics Subject Classification: 46S40, 39B8, 47H10.

Published on-line: February 1st, 2024.

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