Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 749392, 15 pages
doi:10.1155/2008/749392
Fixed point methods for the generalized stability of functional equations in a single variable
Liviu Cădariu1
and Viorel Radu2
1Departamentul de Matematică, Universitatea Politehnica din Timişoara, Piaţa Victoriei no. 2, 300006 Timişoara, Romania
2Facultatea de Matematică Şi Informatică, Universitatea de Vest din Timişoara, Bv. Vasile Pârvan 4, 300223 Timişoara, Romania
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.