Add to ORKGWe prove that an interesting result concerning generalized Hyers-Ulam-Rassias stability of a linear functional equation obtained in 2014 by S.M. Jung, D. Popa and M.T. Rassias in Journal of Global Optimization is a particular case of a fixed point theorem given by us in 2012. Moreover, we give a characterization of functions that can be approximated with a given error, by the solution of the previously mention linear equation.Comment: 12 page
Hyers-Ulam stability of the difference equation $ z_{n+1} = a_nz_n + b_n $ is investigated. If $ \pr...
Abstract In this paper the general method for proving stability of linear functional equations is d...
The fixed point method has been applied for the first time, in proving the stability results for fun...
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, in...
Abstract Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following f...
Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functiona...
Abstract. We apply the Luxemburg–Jung fixed point theorem in generalized metric spaces to study the ...
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the ...
This is a survey paper concerning stability results for the linear functional equation in single var...
We propose a new approach called Hyers-Ulam programming to discriminate whether a generalized linear...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
Abstract Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadrati...
Park et al. proved the Hyers-Ulam stability of some additive functional inequalities. There is a fat...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic func-ti...
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and J...
Hyers-Ulam stability of the difference equation $ z_{n+1} = a_nz_n + b_n $ is investigated. If $ \pr...
Abstract In this paper the general method for proving stability of linear functional equations is d...
The fixed point method has been applied for the first time, in proving the stability results for fun...
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, in...
Abstract Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following f...
Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functiona...
Abstract. We apply the Luxemburg–Jung fixed point theorem in generalized metric spaces to study the ...
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the ...
This is a survey paper concerning stability results for the linear functional equation in single var...
We propose a new approach called Hyers-Ulam programming to discriminate whether a generalized linear...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
Abstract Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadrati...
Park et al. proved the Hyers-Ulam stability of some additive functional inequalities. There is a fat...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic func-ti...
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and J...
Hyers-Ulam stability of the difference equation $ z_{n+1} = a_nz_n + b_n $ is investigated. If $ \pr...
Abstract In this paper the general method for proving stability of linear functional equations is d...
The fixed point method has been applied for the first time, in proving the stability results for fun...