On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability
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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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ISRP Style
Krzysztof Ciepliński, On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5914--5921
AMA Style
Ciepliński Krzysztof, On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability. J. Nonlinear Sci. Appl. (2017); 10(11):5914--5921
Chicago/Turabian Style
Ciepliński, Krzysztof. "On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5914--5921
Keywords
- Hyers-Ulam stability
- functional equation
- system of functional equations
MSC
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