Ulam stability of Jensen functional inequality on a class of noncommutative groups

DOI10.1155/2023/6674969zbMath1527.39013OpenAlexW4381586573MaRDI QIDQ6069533

Gang Lu, Qi Liu, Wenlong Sun, Yuanfeng Jin

Publication date: 14 November 2023

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2023/6674969

zbMATH Keywords

stabilityJensen functional equation

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of two types of cubic fuzzy set-valued functional equations
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• Hyers-Ulam stability of additive set-valued functional equations
• Stability of the generalized logarithmic functional equations arising from fixed point theory
• Functional inequalities in non-Archimedean Banach spaces
• On Jensen's functional equation
• Jensen's functional equation on groups
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Additive \(s\)-functional inequality and Hom-derivations in Banach algebras
• Stability problem for the nonlinear functional equation
• On Ulam stability of a functional equation
• On the stability of the linear functional equation in a single variable on complete metric groups
• Hyers-Ulam stability of general Jensen-type mappings in Banach algebras
• On the stability of Jensen's functional equation on groups
• Hyperstability of some functional equations on restricted domain
• Approximation of homomorphisms and derivations on Lie \(C^\ast\)-algebras via fixed point method
• Functional inequalities associated with Jordan-von Neumann-type additive functional equations
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• 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
• Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
• On a Quadratic-Trigonometric Functional Equation and Some Applications
• Additive ρ-functional inequalities and equations
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations

This page was built for publication: Ulam stability of Jensen functional inequality on a class of noncommutative groups