Stability of Euler-Lagrange-type cubic functional equations in quasi-Banach spaces

DOI10.1007/s40840-020-00954-3zbMath1459.39055arXiv1906.03010OpenAlexW3033195938MaRDI QIDQ2227949

Wutiphol Sintunavarat, Anurak Thanyacharoen, Nguyen Van Dung

Publication date: 16 February 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03010

zbMATH Keywords

cubic functional equationquasi-normed spaceEuler-Lagrange-type functional equation

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)

Related Items (1)

Characterization and stability of multi-Euler-Lagrange quadratic functional equations

Cites Work

• On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces
• The generalized Banach contraction conjecture in \(b\)-metric spaces
• Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
• On quasi-metric and metric spaces
• Nonlinear L-fuzzy stability of k-cubic functional equation
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
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