Stability of homomorphisms on fuzzy Lie \(C^*\)-algebras via fixed point method
DOI10.1186/1029-242X-2014-33zbMath1309.39021WikidataQ59319336 ScholiaQ59319336MaRDI QIDQ2258775
Publication date: 26 February 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
fixed point methodgeneralized Hyers-Ulam stabilityadditive functional equationfuzzy normed spaceshomomorphism in \(C^*\)-algebrashomomorphism in Lie \(C^*\)-algebras
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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