| On the Stability of the Functional Equation in Matrix $\beta$-Normed Spaces |
| Received:March 30, 2015 Revised:March 18, 2016 |
| Key Words:
matrix $\beta$-normed spaces stability additive-quadratic functional equation Pexider equation
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11371119), the Key Foundation of Education Department of Hebei Province (Grant No.\,ZD2016023) and the Foundation of Education Department of Hebei Province (Grant No.Z2014031). |
| Author Name | Affiliation | | Xiuzhong YANG | College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China
Hebei Key Laboratory of Computational Mathematics and Applications, Hebei 050024, P. R. China | | Guannan SHEN | College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China | | Guofen LIU | College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China
Hebei Key Laboratory of Computational Mathematics and Applications, Hebei 050024, P. R. China |
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| Abstract: |
| In this paper we introduce the matrix $\beta$-normed space and study the stability of the additive-quadratic type functional equation and the Pexider type functional equation in this type of spaces. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.03.008 |
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