Park, Choonkil; Shin, Dong Yun; Lee, Jung Rye An additive functional inequality in matrix normed spaces. (English) Zbl 1285.39011 Math. Inequal. Appl. 16, No. 4, 1009-1022 (2013). In this paper, the authors give some interesting results on the generalized Hyers-Ulam-Rassias stability of an additive functional inequality in matrix normed spaces. The authors use the direct method, following [P. Gǎvruţa, J. Math. Anal. Appl. 184, No. 3, 431–436 (1994; Zbl 0818.46043)] and the fixed point method, following [L. Cǎdariu and V. Radu, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 1, Paper No. 4 (2003; Zbl 1043.39010)]. Reviewer: Paşc Găvruţă (Timişoara) MSC: 39B82 Stability, separation, extension, and related topics for functional equations 47L25 Operator spaces (= matricially normed spaces) 47H10 Fixed-point theorems 39B72 Systems of functional equations and inequalities 46L07 Operator spaces and completely bounded maps 39B52 Functional equations for functions with more general domains and/or ranges 39B62 Functional inequalities, including subadditivity, convexity, etc. Keywords:generalized Hyers-Ulam-Rassias stability; Jordan-von Neumann functional equation; operator spaces; fixed point; additive functional inequality Citations:Zbl 0818.46043; Zbl 1043.39010 PDFBibTeX XMLCite \textit{C. Park} et al., Math. Inequal. Appl. 16, No. 4, 1009--1022 (2013; Zbl 1285.39011) Full Text: DOI