An additive (\({\alpha, \beta}\))-functional equation and linear mappings in Banach spaces

DOI10.1007/S11784-016-0283-2zbMath1356.39006OpenAlexW2461615564MaRDI QIDQ343876

Publication date: 29 November 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0283-2

zbMATH Keywords

Hyers-Ulam stability direct method complex Banach space fixed point method \(\mathbb C\)-linear mapping additive (\({\alpha, \beta}\))-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)

Related Items (3)

Ternary hom-ders in ternary Banach algebras ⋮ A system of additive functional equations in complex Banach algebras ⋮ Unnamed Item

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On some functional inequalities related to the logarithmic mean
On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms
On functions that are approximate fixed points almost everywhere and Ulam's type stability
Fixed points and generalized stability for quadratic and quartic mappings in \({C^*}\)-algebras
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
Fixed point methods for the generalized stability of functional equations in a single variable
A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
Homomorphisms between Poisson JC*-algebras
Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
A functional equation involving comparable weighted quasi-arithmetic means
A system of two inhomogeneous linear functional equations
On the functional equations related to a problem of Z. Boros and Z. Daróczy
Hyperstability of the Jensen functional equation
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
Orthogonal stability of a cubic-quartic functional equation
Hyers-Ulam--Rassias stability of Pexiderized Cauchy functional equation in 2-Banach spaces
On the probabilistic stability of the monomial functional equation
On the generalized stability of dAlembert functional equation
Solution and stability of a reciprocal type functional equation in several variables
On the Stability of the Linear Mapping in Banach Spaces
On a problem by K. Nikodem
A fixed point theorem of the alternative, for contractions on a generalized complete metric space
On the Stability of the Linear Functional Equation
On the stability of the additive Cauchy functional equation in random normed spaces
An inequality, equivalent to the parallelogram equation

This page was built for publication: An additive (\({\alpha, \beta}\))-functional equation and linear mappings in Banach spaces