Stability of the Drygas functional equation on restricted domain

DOI10.1007/s00025-014-0418-yzbMath1331.39022OpenAlexW2030038505WikidataQ59408189 ScholiaQ59408189MaRDI QIDQ498364

Magdalena Piszczek, Joanna Szczawińska

Publication date: 28 September 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0418-y

zbMATH Keywords

stabilityBanach spacefixed point methodDrygas 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 (6)

Ulam's stability of a generalization of the Fréchet functional equation ⋮ Asymptotic aspect of Drygas, quadratic and Jensen functional equations in metric abelian groups ⋮ Fixed point theory and the Ulam stability ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Unnamed Item ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

• Variations on the Drygas equation and its stability
• On set-valued solutions of a functional equation of Drygas
• A fixed point approach to stability of functional equations
• Stability of a functional equation of Drygas
• Remarks on the stability of Drygas' equation and the Pexider-quadratic equation
• On a direct method for proving the Hyers-Ulam stability of functional equations
• A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
• On the stability of the quadratic mapping in normed spaces
• Unnamed Item

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