Stability of a generalization of the Fréchet functional equation

DOI10.1515/aupcsm-2015-0006zbMath1329.39025OpenAlexW1042781897MaRDI QIDQ906202

Renata Malejki

Publication date: 21 January 2016

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/aupcsm-2015-0006

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

On the generalized Fréchet functional equation with constant coefficients and its stability ⋮ On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted Domain

Cites Work

• Remarks on hyperstability of the Cauchy functional equation
• Fixed points and generalized Hyers-Ulam stability
• Hyperstability of the Cauchy equation on restricted domains
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Characterizations of inner product spaces by strongly convex functions
• A fixed point approach to stability of functional equations
• A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
• Remark on hyperstability of the general linear equation
• A characterization of inner product spaces concerning an Euler-Lagrange identity
• Hyperstability of a functional equation
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• On some recent developments in Ulam's type stability
• Hyperstability of the Fréchet equation and a characterization of inner product spaces
• On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings
• On a direct method for proving the Hyers-Ulam stability of functional equations
• Functional Equations and Inequalities with Applications
• Stability of functional equations in several variables
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