Hyperstability of a quadratic functional equation on abelian group and inner product spaces


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.


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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


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