Stability of \(n\)-dimensional additive functional equation in generalized 2-normed space

DOI10.1515/dema-2016-0027zbMath1346.39027OpenAlexW2511785018MaRDI QIDQ305174

Mohan Arunkumar

Publication date: 29 August 2016

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2016-0027

zbMATH Keywords

additive functional equationgeneralized Ulam-Hyers-Rassias stability

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)

Cites Work

• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations and a problem of Ulam
• Quadratic functional equation and inner product spaces
• New characterizations of some mean-values
• On the stability of the linear transformation in Banach spaces
• Stability of functional equations in non-Archimedean spaces
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
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