Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

DOI10.1515/DEMA-2019-0044zbMath1436.39015OpenAlexW2997234068MaRDI QIDQ1985721

Laddawan Aiemsomboon, Wutiphol Sintunavarat

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1515/dema-2019-0044

zbMATH Keywords

stabilityfixed point methodorthogonally generalized quadratic functional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Systems of functional equations and inequalities (39B72) Orthogonal additivity and other conditional functional equations (39B55)

Cites Work

• On orthogonally additive mappings
• On a modified Hyers-Ulam sequence
• On stability of additive mappings
• Orthogonal stability of functional equations with the fixed point alternative
• On the stability of the linear transformation in Banach spaces
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
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