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  • Research Article
  • 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:

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.

Keywords

  • Functional Equation
  • Differential Geometry
  • Stability Result
  • Point Method
  • Single Variable

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Authors’ 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

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.

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