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Fuzzy *-homomorphisms and fuzzy *-derivations in induced fuzzy C*-algebras
- Issue Date
- Nov-2011
- Publisher
- Pergamon Press Ltd.
- Keywords
- Induced fuzzy C*-algebra; Fuzzy *-homomorphism; Fuzzy *-derivation; Fixed point; Hyers-Ulam stability; Cauchy-Jensen functional equation; Cauchy-Jensen functional inequality
- Citation
- Mathematical and Computer Modelling, v.54, no.9-10, pp 2027 - 2039
- Pages
- 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- Mathematical and Computer Modelling
- Volume
- 54
- Number
- 9-10
- Start Page
- 2027
- End Page
- 2039
- ISSN
- 0895-7177
1872-9479
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy-Jensen functional equation and of the Cauchy-Jensen functional inequality in fuzzy Banach *-algebras and in induced fuzzy C*-algebras. Furthermore, using the fixed point method, we prove the Hyers-Ulam stability of fuzzy *-derivations in fuzzy Banach *-algebras and in induced fuzzy C*-algebras.
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