Cauchy--Rassias stability of a generalized Trif's mapping in Banach modules and its applications
DOI10.1016/j.na.2005.03.071zbMath1080.39026OpenAlexW2014939883MaRDI QIDQ2483931
Publication date: 1 August 2005
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.03.071
Hyers-Ulam stabilityBanach modules\(C^*\)-algebra homomorphismCauchy-Rassias stabilityTrif's functional equation
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the Jensen's equation in Banach modules.
- The problem of S. M. Ulam for approximately multiplicative mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
- On the stability of the linear mapping in Banach modules
- Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.
- On the Hyers-Ulam stability of linear mappings
- Means and convex combinations of unitary operators.
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- On the Stability of the Linear Mapping in Banach Spaces
- On the Stability of the Linear Functional Equation
- Approximate homomorphisms
This page was built for publication: Cauchy--Rassias stability of a generalized Trif's mapping in Banach modules and its applications
