In this paper we prove that an interesting result concerning the generalized Hyers-Ulam stability of the linear functional equation 
on a complete metric group, given in 2014 by S.M. Jung, D. Popa and M.T. Rassias, can be obtained using the fixed point technique. Moreover, we give a characterization of the functions that can be approximated with a given error, by the solution of the linear equation mention above.
Our results are also related to a recent result of G.H. Kim and Th.M. Rassias concerning the stability of Psi functional equation.
Fixed points and the stability of the linear functional equations in a single variable
Cădariu, Liviu and Manolescu, Laura
Full PDF
carpathian_2022_38_3_769_776Additional Information
| Author(s) | Manolescu, Laura, Cădariu, Liviu |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.03.20 |
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios