Generalized Hyers-Ulam stability of quadratic functional inequality

DOI10.1155/2013/564923zbMath1291.39054OpenAlexW2048804819WikidataQ58917132 ScholiaQ58917132MaRDI QIDQ2015747

Hark-Mahn Kim, Eunyoung Son, Kil-Woung Jun

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/564923

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Cites Work

• Hyers-Ulam stability of Jensen functional inequality in \(p\)-Banach spaces
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• A fixed point approach to the stability of quadratic functional equation with involution
• Functional inequalities in non-Archimedean Banach spaces
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces
• On some recent developments in Ulam's type stability
• Fixed points, inner product spaces, and functional equations
• On inequalities associated with the Jordan-von Neumann functional equation
• Functional inequalities associated with Jordan-von Neumann-type additive functional equations
• Stability of a functional inequality associated with the Jordan-von Neumann functional equation
• On the stability of the linear transformation in Banach spaces
• Stability of functional equations in non-Archimedean spaces
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On a problem by K. Nikodem
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Remarks on the stability of functional equations
• Approximate homomorphisms
• An inequality, equivalent to the parallelogram equation
• On the stability of the quadratic mapping in normed spaces
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