Nearly quartic mappings in \(\beta\)-homogeneous \(F\)-spaces

DOI10.1007/s00025-011-0215-9zbMath1267.39020OpenAlexW1994664340MaRDI QIDQ1936944

Hark-Mahn Kim, Ick-Soon Chang, Madjid Eshaghi-Gordji, Hamid Khodaei

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0215-9

zbMATH Keywords

Hyers-Ulam-Rassias stability\(F\)-spacequartic mapping\(F\)-norm\(F\)-pseudonym

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)

On the stability of Jordan \(\ast\)-derivation pairs ⋮ An AQCQ-functional equation in matrix normed spaces ⋮ Correction to: ``Nearly quartic mappings in \(\beta\)-homogeneous \(F\)-spaces ⋮ \(C^\ast\)-ternary 3-homomorphisms on \(C^\ast\)-ternary algebras ⋮ Hyers-Ulam stability of general Jensen-type mappings in Banach algebras ⋮ A general additive functional inequality and derivation in Banach algebras

Cites Work

• Quartic functional equations
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The additive approximation on a four-variate Jensen-type operator equation
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• On the stability of the linear transformation in Banach spaces
• On a Local Stability of the Jensen Functional Equation
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION
• On the Stability of the Linear Functional Equation
• Precise coefficient estimates for close-to-convex harmonic univalent mappings
• On the stability of the quadratic mapping in normed spaces
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