Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces

DOI10.1155/2013/198018zbMath1291.39039OpenAlexW2005585208WikidataQ58915518 ScholiaQ58915518MaRDI QIDQ2015209

Abasalt Bodaghi, Sang Og Kim

Publication date: 23 June 2014

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

Full work available at URL: https://doi.org/10.1155/2013/198018

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (7)

Stability of the general form of quadratic-quartic functional equations in non-Archimedean \(\mathcal{L}\)-fuzzy normed spaces ⋮ A characterization of multi-mixed additive-quadratic mappings and a fixed point application ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ Hyperstability of Jordan triple derivations on Banach algebras ⋮ Approximate \(n\)-dimensional additive functional equation in various Banach spaces ⋮ Unnamed Item ⋮ Solution and stability of a mixed type functional equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ulam stability of a quartic functional equation
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• Stability of a mixed additive and quadratic functional equation in non-Archimedean Banach modules
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
• On the stability of quadratic functional equations
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On some recent developments in Ulam's type stability
• Stability of the equation of the \(p\)-Wright affine functions
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Hyperstability of the Drygas functional equation
• Stability of the Cauchy functional equation over \(p\)-adic fields
• On the stability of the linear transformation in Banach spaces
• Stability of multi-Jensen mappings in non-Archimedean normed 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 the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces