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

Joint Authors

Xia, Chao
Song, Wei

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-01

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Xia, Chao& Song, Wei. 2014. Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-472879

Modern Language Association (MLA)

Xia, Chao& Song, Wei. Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-472879

American Medical Association (AMA)

Xia, Chao& Song, Wei. Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-472879

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-472879