Improvements on the stability of Euler-Lagrange type cubic maps in quasi-Banach spaces

DOI10.1007/s10476-021-0109-3zbMath1499.39116OpenAlexW4200586157MaRDI QIDQ2116389

Yanyan Li

Publication date: 16 March 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0109-3

zbMATH Keywords

functional equationquasi-Banach spaceEuler-Lagrange type cubic

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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• On the stability of a radical cubic functional equation in quasi-\(\beta\)-spaces
• On the stability of the generalized Cauchy-Jensen set-valued functional equations
• On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces
• Solution of the Ulam stability problem for Euler-Lagrange quadratic mappings
• The generalized hyperstability of general linear equations in quasi-Banach spaces
• Revision and extension on Hyers-Ulam stability of homomorphisms in quasi-Banach algebras
• On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings
• Inverse closedness of approximation algebras
• Stability of Functional Equations in Banach Algebras
• Locally bounded linear topological spaces

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