Lipschitz stability of the k-quadratic functional equation
From MaRDI portal
Publication:5236127
DOI10.2989/16073606.2017.1339742zbMath1422.39060OpenAlexW2730069115MaRDI QIDQ5236127
Iz-iddine EL-Fassi, Abdellatif Chahbi, Samir Kabbaj
Publication date: 15 October 2019
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2017.1339742
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items
A new type of approximation for cubic functional equations in Lipschitz spaces ⋮ On approximation of approximately generalized quadratic functional equation via Lipschitz criteria ⋮ Approximate solution of a generalized multi-quadratic type functional equation in Lipschitz spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fixed point approach to stability of a quadratic equation
- A fixed point approach to the stability of quadratic functional equation with involution
- On stability of additive mappings
- Note on decomposition of bounded functions into the sum of periodic terms
- On the Hyers-Ulam stability of the functional equations that have the quadratic property
- Lipschitz stability of the Cauchy and Jensen equations
- Stability of the Cauchy type equations in \({\mathfrak L}_ p\) norms
- Superstability of the equation of quadratic functionals in \(L^p\)-spaces
- Stability of the quadratic functional equation in Lipschitz spaces
- Quadratic difference operators in \(L^p\)-spaces
- Hyers-Ulam stability of functional equations in several variables
- On the stability of the linear transformation in Banach spaces
- On some generalized invariant means and their application to the stability of the Hyers-Ulam type
- Fixed points and generalized Hyers-Ulam stability of quadratic functional equations
- Proprieta’ locali e approssimazione di operatori
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings