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

Chao Xia | Zendy; Wei Song | Zendy

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

Author(s) -

Chao Xia,

Wei Song

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/454569

Subject(s) - lipschitz continuity , mathematics , stability (learning theory) , sequence (biology) , class (philosophy) , mathematical analysis , iterative method , mathematical optimization , computer science , machine learning , artificial intelligence , biology , genetics

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

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