A general uniqueness theorem concerning the stability of additive and quadratic functional equations

DOI10.1155/2015/643969zbMath1309.39018OpenAlexW2080413224WikidataQ59112865 ScholiaQ59112865MaRDI QIDQ2256695

Yang-Hi Lee, Jung, Soon-Mo

Publication date: 20 February 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/643969

zbMATH Keywords

Hyers-Ulam stabilityquadratic functional equationCauchy additive functional equationquadratic-additive-type functional equation

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) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (4)

Unnamed Item ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ A general theorem on the stability of a class of functional equations including quartic-cubic-quadratic-additive equations ⋮ A general theorem on the stability of a class of functional equations including monomial equations

Cites Work

• Unnamed Item
• On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Intuitionistic random almost additive-quadratic mappings
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• FUZZY STABILITY OF THE CAUCHY ADDITIVE AND QUADRATIC TYPE FUNCTIONAL EQUATION
• On the Stability of the Linear Mapping in Banach Spaces

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