APPROXIMATION OF INVOLUTION IN NEW FUZZY C*-ALGEBRAS: FIXED POINT TECHNIQUE

被引:1
作者
Lo'Lo', Parvaneh [1 ]
Movahednia, Ehsan [1 ]
de la Sen, Manuel [2 ]
机构
[1] Behbahan Khatam Alanbia Univ Technol, Dept Math, Behbahan, Iran
[2] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia,Aptdo Postal 644, Bilbao 48080, Spain
来源
FIXED POINT THEORY | 2024年 / 25卷 / 01期
关键词
Stability functional equation; fuzzy normed algebra; fixed point theory; C*-algebra; Hyers-Ulam-Rassias stability; FUNCTIONAL-EQUATIONS; STABILITY;
D O I
10.24193/fpt-ro.2025.1.13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
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页码:201 / 212
页数:12
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