Stability of homomorphisms on fuzzy Lie \(C^*\)-algebras via fixed point method

DOI10.1186/1029-242X-2014-33zbMath1309.39021WikidataQ59319336 ScholiaQ59319336MaRDI QIDQ2258775

Javad Vahidi, Sung-Jin Lee

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point methodgeneralized Hyers-Ulam stabilityadditive functional equationfuzzy normed spaceshomomorphism in \(C^*\)-algebrashomomorphism in Lie \(C^*\)-algebras

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Fuzzy functional analysis (46S40)

Cites Work

• Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
• Fuzzy stability of the Jensen functional equation
• On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces
• Fuzzy approximately cubic mappings
• Some results on fuzzy Banach spaces
• Homomorphisms between Poisson JC*-algebras
• Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the stability of the additive Cauchy functional equation in random normed spaces

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