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ON APPROXIMATE SOLUTIONS OF SOME DIFFERENCE EQUATIONS

Part of: Nonlinear operators and their properties Equations and inequalities involving nonlinear operators Difference equations Difference and functional equations

Published online by Cambridge University Press:  01 December 2016

JANUSZ BRZDĘK  and
PAWEŁ WÓJCIK
JANUSZ BRZDĘK
Affiliation:
Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, 30-084 Kraków, Poland email [email protected]
PAWEŁ WÓJCIK*
Affiliation:
Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, 30-084 Kraków, Poland email [email protected]
*
✉[email protected]
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Abstract

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In this paper we present a simple (fixed point) method that yields various results concerning approximate solutions of some difference equations. The results are motivated by the notion of Ulam stability.

Keywords

Hyers–Ulam stabilitylinear recurrencedifference equationBanach spacemetric spacefixed point theorem

MSC classification

Primary: 39B82: Stability, separation, extension, and related topics
Secondary: 39A06: Linear equations 47H10: Fixed-point theorems 47J05: Equations involving nonlinear operators (general) 47J25: Iterative procedures
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 3 , June 2017 , pp. 476 - 481
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

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