On stability of the functional equation of \(p\)-Wright affine functions in \((2,\alpha)\)-Banach spaces

DOI10.1186/s42787-019-0024-yzbMath1425.39014OpenAlexW2961669591MaRDI QIDQ2338159

Publication date: 21 November 2019

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-019-0024-y

zbMATH Keywords

Banach spaces Hyers-Ulam stability affine function \(p\)-Wright convexity

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (1)

Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A note on solutions of a functional equation arising in a queuing model for a LAN gateway
Stability has many names
Fixed point theory and the Ulam stability
Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
Approximate additive mappings in 2-Banach spaces and related topics
A fixed point approach to stability of functional equations
A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
Stability of homomorphisms and generalized derivations on Banach algebras
A functional equation arising in multi-agent statistical decision theory
The general solution of a functional equation related to the mixed theory of information
On some functional equations arising in computer graphics
On a fixed point theorem in 2-Banach spaces and some of its applications
A survey of shadowing methods for numerical solutions of ordinary differential equations
Duplicating the cube and functional equations
Hyperstability and superstability
On the stability of the linear functional equation in a single variable on complete metric groups
On Ulam's type stability of the linear equation and related issues
On the structure and solutions of functional equations arising from queueing models
Ulam stability of operators
Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems
Stability of the equation of the \(p\)-Wright affine functions
Hyers-Ulam stability with respect to gauges
Functional equations involving means
On the asymptoticity aspect of Hyers-Ulam stability of mappings
Closed-Form Solution of a LAN Gateway Queueing Model
Lineare 2‐normierte Räume
On the Stability of the Linear Functional Equation
On a functional equation related to digital filtering

This page was built for publication: On stability of the functional equation of \(p\)-Wright affine functions in \((2,\alpha)\)-Banach spaces