Stability of a generalization of Cauchy's and the quadratic functional equations

DOI10.1007/s11784-018-0503-zzbMath1384.39013OpenAlexW2791840178MaRDI QIDQ1742523

Muaadh Almahalebi

Publication date: 11 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0503-z

zbMATH Keywords

stabilityBanach spacequadratic functional equationfixed point methodCauchy functional equationhyperstability

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 (10)

Unnamed Item ⋮ Some hyperstability results of a p-radical functional equation related to quartic mappings in non-archimedean Banach spaces ⋮ Hyperstability of the generalized Cauchy-Jensen functional equation in ultrametric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hyers-Ulam stability of additive functional equation using direct and fixed-point methods ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some hyperstability results in non-Archimedean 2-Banach space for a \(\sigma\)-Jensen functional equation

Cites Work

• Unnamed Item
• Unnamed Item
• On the hyperstability of \(\sigma\)-Drygas functional equation on semigroups
• Remarks on hyperstability of the Cauchy functional equation
• Hyperstability of the Cauchy equation on restricted domains
• Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation
• A fixed point approach to stability of functional equations
• A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
• Some generalization of Cauchy's and the quadratic functional equations
• Remark on hyperstability of the general linear equation
• Hyperstability of a functional equation
• Functional equations involving means of functions on the complex plane
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Hyperstability and superstability
• Hyperstability of the Jensen functional equation in ultrametric spaces
• Hyperstability of the Jensen functional equation
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• Generalized Jensen functional equation on restricted domain
• On the Stability of the Linear Mapping in Banach Spaces
• A general functional equation and its stability
• A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION

This page was built for publication: Stability of a generalization of Cauchy's and the quadratic functional equations