Open Access Research Article

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

Liviu Cădariu1* and Viorel Radu2

Author Affiliations

1 Departamentul de Matematică, Universitatea Politehnica din Timişoara, Piaţa Victoriei no. 2, 300006 Timişoara, Romania

2 Facultatea de Matematică Şi Informatică, Universitatea de Vest din Timişoara, Bv. Vasile Pârvan 4, 300223 Timişoara, Romania

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Fixed Point Theory and Applications 2008, 2008:749392 doi:10.1155/2008/749392


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2008/1/749392


Received:25 August 2007
Accepted:16 December 2007
Published:24 December 2007

© 2008 Copyright © 2008

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.

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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