Korean J. Math. Vol. 22 No. 4 (2014) pp.659-670
DOI: https://doi.org/10.11568/kjm.2014.22.4.659

Fuzzy algebra homomorphisms and fuzzy derivations

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Published: Dec 26, 2014
Keywords:
fuzzy Banach algebra, fuzzy algebra homomorphism, fuzzy derivation, Hyers-Ulam stability, Cauchy-Jensen functional
Mathematics Subject Classification:
39B52, 46S40, 47S40, 47B47, 17B40

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Jung-Rye Lee
Department of Mathematics, Daejin University, Phochon 487-711, Republic of Korea

Abstract

In this paper, we prove the Hyers-Ulam stability of homomorphisms in fuzzy Banach algebras and of derivations on fuzzy Banach algebras associated to the Cauchy-Jensen functional equation.


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