Functional inequalities associated with Cauchy additive functional equation in non-Archimedean spaces

DOI10.1155/2011/929824zbMath1252.39033OpenAlexW1997080674WikidataQ58655565 ScholiaQ58655565MaRDI QIDQ659560

N. Ghobadipour, Themistocles M. Rassias, Ali Ebadian, Madjid Eshaghi-Gordji

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/929824

zbMATH Keywords

Hyers-Ulam stabilityfunctional inequalitiesnon-Archimedean normed spacesCauchy additive functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (7)

Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ A fixed point approach to almost double derivations and Lie \(*\)-double derivations ⋮ On the stability of a parametric additive functional equation in quasi-Banach spaces ⋮ Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ On functional inequalities associated with Drygas functional equation ⋮ 3-Variable double ρ-functional inequalities of Drygas

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