Generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation

DOI10.1016/J.AML.2011.08.018zbMath1238.39012OpenAlexW2000984500MaRDI QIDQ659839

Jung Rye Lee, Chun-Gil Park, Dong Yun Shin

Publication date: 24 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.08.018

zbMATH Keywords

fixed pointCauchy functional equationgeneralized Ulam-Hyers stabilityrandom normed algebrarandom homomorphism

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (3)

Approximate homomorphisms and derivations on random Banach algebras ⋮ Probabilistic (quasi)metric versions for a stability result of Baker ⋮ Hyers-Ulam-Rassias stability of functional differential systems with point and distributed delays

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