Open Access

Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable

Fixed Point Theory and Applications20072008:749392

https://doi.org/10.1155/2008/749392

Received: 25 August 2007

Accepted: 16 December 2007

Published: 24 December 2007

Abstract

We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for the square root spiral. The stability results have been obtained by a fixed point method. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator.

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Authors’ Affiliations

(1)
Departamentul de Matematică, Universitatea Politehnica din Timişoara
(2)
Facultatea de Matematică Şi Informatică, Universitatea de Vest din Timişoara

Copyright

© L. Cădariu and V. Radu. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.