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2014 | OriginalPaper | Buchkapitel

The Stability of an Affine Type Functional Equation with the Fixed Point Alternative

verfasst von : M. Mursaleen, Khursheed J. Ansari

Erschienen in: Topics in Mathematical Analysis and Applications

Verlag: Springer International Publishing

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Abstract

In this paper, we consider the following affine functional equation

$$\displaystyle{f(3x+y+z)+f(x+3y+z)+f(x+y+3z)+f(x)+f(y)+f(z) = 6f(x+y+z).}$$

We obtain the general solution and establish some stability results by using direct method as well as the fixed point method. Further we define the stability of the above functional equation by using the fixed point alternative.

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Vorheriges Kapitel A Planar Location-Allocation Problem with Waiting Time Costs

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Titel: The Stability of an Affine Type Functional Equation with the Fixed Point Alternative
verfasst von: M. Mursaleen
Khursheed J. Ansari
Verlag: Springer International Publishing
Buch: Topics in Mathematical Analysis and Applications
Print ISBN: 978-3-319-06553-3

Electronic ISBN: 978-3-319-06554-0

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-319-06554-0_24

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