Superstability of generalized derivations on non-Archimedean random Banach algebras via fixed point method
DOI10.11948/20230480MaRDI QIDQ6616930
Somayyeh Zolfaghari, Chun-Gil Park, Saed Ostadbashi, Ali Ebadian, Yongqiao Wang
Publication date: 9 October 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Hyers-Ulam stabilitygeneralized derivation\(p\)-adic fieldfixed point alternativenon-Archimedean random Banach algebranon-Archimedean random normed space
Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Random operators and equations (aspects of stochastic analysis) (60H25) Operator spaces (= matricially normed spaces) (47L25) Functional equations for functions with more general domains and/or ranges (39B52) Random linear operators (47B80) Random nonlinear operators (47H40)
Cites Work
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- On a functional equation of trigonometric type
- On an \(n\)-dimensional mixed type additive and quadratic functional equation
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Ueber eine neue Begründung der Theorie der algebraischen Zahlen.
- On the stability of functional equations and a problem of Ulam
- Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem
- A linear functional equation of third order associated with the Fibonacci numbers
- On the stability of a functional equation associated with the Fibonacci numbers
- Perturbation of generalized derivations in fuzzy Menger normed algebras
- On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
- Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
- Hom-derivations in \(C^*\)-ternary algebras
- On new stability results for composite functional equations in quasi-\(\beta\)-normed spaces
- On the stability of the linear functional equation in a single variable on complete metric groups
- Hyers-Ulam stability of hypergeometric differential equations
- Additive functional equations and partial multipliers in \(C^*\)-algebras
- On the Hyers-Ulam stability of linear mappings
- Stability of the Cauchy functional equation over \(p\)-adic fields
- On the stability of the linear functional equation.
- Approximately isometric and multiplicative transformations on continuous function rings
- A system of additive functional equations in complex Banach algebras
- Functional Equations and Inequalities with Applications
- On the Stability of the Linear Mapping in Banach Spaces
- Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
- On approximate derivations
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- Classes of transformations and bordering transformations
- Approximate homomorphisms
- Stability of functional equations in several variables
- On the stability of the additive Cauchy functional equation in random normed spaces
- Some further generalizations of the Hyers-Ulam-Rassias stability of functional equations
- Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions
- Set-valued solutions of an equation of Jensen type
- Generalized Hyers-Ulam stability of trigonometric functional equations
- The existence and uniqueness of solutions to a functional equation arising in psychological learning theory
- On the stability of the quadratic mapping in normed spaces
- Hyers-Ulam stability for an \(n^{th}\) order differential equation using fixed point approach
- Kamal transform and Ulam stability of differential equations
- Hyperstability results for generalized quadratic functional equations in \((2, \alpha)\)-Banach spaces
- Hyers-Ulam-Rassias stability of a nonlinear stochastic fractional Volterra integro-differential equation
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