Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem

DOI10.1007/s11784-017-0439-8zbMath1383.39026OpenAlexW2611705120MaRDI QIDQ1684868

Iz-iddine EL-Fassi

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0439-8

zbMATH Keywords

fixed point theoreminner product spacehyperstabilityDrygas functional equation,ormed spaceabelian grpoup

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (15)

Stability of an \(n\)-variable mixed type functional equation in probabilistic modular spaces ⋮ Hyers-Ulam stability results for a functional inequality of \((s, t)\)-type in Banach spaces ⋮ Brzdęk’s fixed point method for the generalised hyperstability of bi-Jensen functional equation in (2,β)-Banach spaces ⋮ Stability of a new additive functional inequality in Banach spaces ⋮ A new hyperstability result for the multi-Drygas equation via the Brzdȩk's fixed point approach ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ulam stability of an additive-quadratic functional equation in Banach spaces ⋮ Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces ⋮ A new hyperstability result for the Apollonius equation on a restricted domain and some applications ⋮ On approximate solution of Drygas functional equation according to the Lipschitz criteria ⋮ Ulam stability of bihomomorphisms and biderivations in Banach algebras ⋮ Derivation-homomorphism functional inequalities ⋮ Hyers-Ulam stability of an additive-quadratic functional equation ⋮ Hyers-Ulam stability of symmetric biderivations on Banach algebras

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