Additive functional inequalities in 2-Banach spaces

DOI10.1186/1029-242X-2013-447zbMath1293.39018OpenAlexW4252749470WikidataQ59295150 ScholiaQ59295150MaRDI QIDQ2250436

Chun-Gil Park

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-447

zbMATH Keywords

Hyers-Ulam stabilitysuperstabilityadditive mappingCauchy functional inequalityadditive functional inequalityCauchy-Jensen functional inequalitylinear 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) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (3)

Ulam stability and non-stability of additive functional equation in IFN-spaces and 2-Banach spaces by different methods ⋮ Approximate mixed type quadratic-cubic functional equation ⋮ Approximation of general \(\alpha\)-cubic functional equations in 2-Banach spaces

Cites Work

• Approximate additive mappings in 2-Banach spaces and related topics
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On inequalities associated with the Jordan-von Neumann functional equation
• Stability of a functional inequality associated with the Jordan-von Neumann functional equation
• On the stability of the linear transformation in Banach spaces
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
• 2‐metrische Räume und ihre topologische Struktur
• On the Stability of the Linear Functional Equation
• An inequality, equivalent to the parallelogram equation

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