Hyers-Ulam stability of quadratic forms in 2-normed spaces

DOI10.1515/dema-2019-0038zbMath1436.39018OpenAlexW2996049518WikidataQ126552968 ScholiaQ126552968MaRDI QIDQ1985715

Jae-Hyeong Bae, Won-Gil Park

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-2019-0038

zbMATH Keywords

quadratic formHyers-Ulam stabilitylinear 2-normed space

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) Systems of functional equations and inequalities (39B72)

Cites Work

• Unnamed Item
• Approximate additive mappings in 2-Banach spaces and related topics
• Stability of a bi-additive functional equation in Banach modules over a \(C^\star\)-algebra
• A functional equation originating from quadratic forms
• On the Hyers-Ulam stabilities of functional equations on n-Banach spaces
• A FUNCTIONAL EQUATION RELATED TO QUADRATIC FORMS WITHOUT THE CROSS PRODUCT TERMS
• On the Stability of the Linear Mapping in Banach Spaces
• Lineare 2‐normierte Räume
• 2‐metrische Räume und ihre topologische Struktur

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