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Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
Fixed Point Theory and Applications volume 2008, Article number: 749392 (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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Cădariu, L., Radu, V. Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable. Fixed Point Theory Appl 2008, 749392 (2007). https://doi.org/10.1155/2008/749392
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DOI: https://doi.org/10.1155/2008/749392