On the Stability of an Additive and Quadratic Functional Equation

DOI10.1007/978-1-4614-3498-6_34zbMath1253.39027OpenAlexW50646053MaRDI QIDQ2905795

Chun-Gil Park

Publication date: 28 August 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_34

zbMATH Keywords

quadratic mappinggeneralized Hyers-Ulam stabilityadditive mappingadditive and quadratic type functional equation

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Systems of functional equations and inequalities (39B72)

Cites Work

• Variational problem of some quadratic functionals in complex analysis
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• On the Hyers-Ulam stability of linear mappings
• 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
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces
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