A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces (Q1936205)
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scientific article; zbMATH DE number 6138104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces |
scientific article; zbMATH DE number 6138104 |
Statements
A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces (English)
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21 February 2013
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In this paper, a fixed point theorem in complete non-Archimedean normed space is proved. As an application, the Hyers-Ulam stability of some functional equations is proved. Examples are provided for Hyers-Ulam stability of functional equations in several variables.
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non-Archimedean normed space
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fixed point
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Hyers-Ulam stability
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linear functional equation
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square symmetric groupoid
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