On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability

Volume 10, Issue 11, pp 5914--5921 http://dx.doi.org/10.22436/jnsa.010.11.28

Publication Date: November 24, 2017 Submission Date: May 18, 2017

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Authors

Krzysztof Ciepliński - Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Krakow, Poland.

Abstract

We introduce the notion of a bi-linear mapping which generalizes some known ones, and note that bi-linear mappings satisfy a functional equation. The Hyers-Ulam stability of this equation is studied in Banach, \(2\)-Banach and complete non-Archimedean normed spaces.

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Keywords

• Hyers-Ulam stability
• functional equation
• system of functional equations

MSC

•  39B52
•  39B72
•  39B82

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