Fuzzy -homomorphisms and fuzzy -derivations in induced fuzzy -algebras. (English) Zbl 1235.46078
Summary: 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 \(\ast \)-algebras and in induced fuzzy \(C^{\ast }\)-algebras.
MSC:
| 46S40 | Fuzzy functional analysis |
Keywords:
induced fuzzy \(C^{\ast }\)-algebra; fuzzy \(\ast \)-homomorphism; fuzzy \(\ast \)-derivation; fixed point; Hyers-Ulam stability; Cauchy-Jensen functional equation; Cauchy-Jensen functional inequalityReferences:
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