Nearly \((k,s)\)-Fibonacci functional equations in \(\beta\)-normed spaces

DOI10.1007/s00010-011-0103-0zbMath1239.39017OpenAlexW2048149683MaRDI QIDQ662364

Juan-Miguel Gracia

Publication date: 22 February 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-011-0103-0

zbMATH Keywords

Hyers-Ulam stability\((k,s)\)-Fibonacci functional equation\(\beta\)-normed spacereal vector space

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) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Stability of multi-additive mappings in \(\beta\)-Banach spaces

Cites Work

• Non-Archimedean \(\mathcal L\)-fuzzy normed spaces and stability of functional equations
• Hyers-Ulam stability of Fibonacci functional equation
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Hyers-Ulam stability of functional equations in several variables
• The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
• On the stability of the linear transformation in Banach spaces
• STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRAS
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
• Stability of functional equations in several variables
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