Generalized stabilities of two functional equations

DOI10.1007/s00010-012-0180-8zbMath1284.39027OpenAlexW1998396516MaRDI QIDQ387616

Yun Bai Dong

Publication date: 23 December 2013

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-012-0180-8

zbMATH Keywords

functional equationBanach spaceabelian groupUlam stability problem

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)

Related Items (6)

More on stability of two functional equations ⋮ On stability of almost surjective functional equations of uniformly convex Banach spaces ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ On approximate isometries and application to stability of a functional equation ⋮ ON HYPERSTABILITY OF ADDITIVE MAPPINGS ONTO BANACH SPACES ⋮ A note on stability of Fischer-Muszély functional equation

Cites Work

• Quasi-additive functions
• On functions behaving like additive functions
• On approximation of approximately linear mappings by linear mappings
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of functional equations in Banach spaces
• On the Hyers-Ulam stability of linear mappings
• Stability of the preservation of the equality of distance
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• Approximate Isometries on Finite-Dimensional Normed Spaces
• ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION
• On Some New Generalizations of the Functional Equation of Cauchy
• On the Stability of the Linear Functional Equation
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