Hyperstability of a quadratic functional equation on abelian group and inner product spaces
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Authors
Iz-iddine EL-Fassi
- Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco.
Gwang Hui Kim
- Department of Mathematics, Kangnam University, Yongin, Gyoenggi 446-702, Republic of Korea.
Abstract
Using the fixed point approach, we prove some results on hyperstability of the following quadratic
functional equation
\[f(x + y + z) + f(x - y) + f(x - z) + f(y - z) = 3[f(x) + f(y) + f(z)],\]
in the class of functions from an abelian group into a Banach space.
Share and Cite
ISRP Style
Iz-iddine EL-Fassi, Gwang Hui Kim, Hyperstability of a quadratic functional equation on abelian group and inner product spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5353--5361
AMA Style
EL-Fassi Iz-iddine, Kim Gwang Hui, Hyperstability of a quadratic functional equation on abelian group and inner product spaces. J. Nonlinear Sci. Appl. (2016); 9(9):5353--5361
Chicago/Turabian Style
EL-Fassi, Iz-iddine, Kim, Gwang Hui. "Hyperstability of a quadratic functional equation on abelian group and inner product spaces." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5353--5361
Keywords
- Hyperstability
- quadratic functional equation
- fixed point theorem.
MSC
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