On approximately \(p\)-Wright affine functions in ultrametric spaces

DOI10.1155/2013/723545zbMath1287.39016OpenAlexW2170874309WikidataQ59012569 ScholiaQ59012569MaRDI QIDQ2443752

Magdalena Piszczek, Anna Bahyrycz, Janusz Brzdȩk

Publication date: 8 April 2014

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/723545

zbMATH Keywords

ultrametric space\(p\)-Wright affine functionstability for functional equations

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (17)

On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem ⋮ Unnamed Item ⋮ Hyperstability of the generalized Cauchy-Jensen functional equation in ultrametric spaces ⋮ Generalized hyperstability of the Jensen functional equation in ultrametric spaces ⋮ On stability of a functional equation of quadratic type ⋮ Unnamed Item ⋮ Hyperstability of the Jensen functional equation in ultrametric spaces ⋮ Fixed point theory and the Ulam stability ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Stability for functional equation of mixed type in non-Archimedean normed spaces ⋮ Non-Archimedean hyperstability of a Cauchy-Jensen type functional equation ⋮ Hyperstability of the \(k\)-cubic functional equation in non-Archimedean Banach spaces ⋮ Stability for a family of equations generalizing the equation of \(p\)-Wright affine functions ⋮ Hyperstability of cubic functional equation in ultrametric spaces ⋮ General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations ⋮ Hyperstability of a mixed type cubic-quartic functional equation in ultrametric spaces ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

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