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  
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 NameAffiliation
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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