Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions

Chao Xia and Wei Song

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-7

Abstract:

Hyers-Ulam stability is a basic sense of stability for functional equations. In the present paper we discuss the Hyers-Ulam stability of a kind of iterative equations in the class of Lipschitz functions. By the construction of a uniformly convergent sequence of functions we prove that, for every approximate solution of such an equation, there exists an exact solution near it.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:454569

DOI: 10.1155/2014/454569

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