Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
© L. Cădariu and V. Radu. 2008
Received: 25 August 2007
Accepted: 16 December 2007
Published: 24 December 2007
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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