Xu, Lu; Cao, Huai-Xin; Zheng, Wen-Ting; Gao, Zhen-Xia Super-stability and stability of the exponential equations. (English) Zbl 1192.39026 J. Math. Inequal. 4, No. 1, 37-44 (2010). Authors’ abstract: We introduce the concepts of super-stability, stability, \(\delta\)-Ger-stability of the exponential equation of an operator from a normed space into a normed algebra. By using some results due to J. A. Baker [Proc. Am. Math. Soc. 80, 411–416 (1980; Zbl 0448.39003)] and R. Ger and P. Semrl [Proc. Am. Math. Soc. 124, No. 3, 779–787 (1996; Zbl 0846.39013)], we obtain some new conclusions about these stabilities. Reviewer: Claudi Alsina (Barcelona) Cited in 1 Document MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges Keywords:super-stability; exponential function; \(\delta\)-Ger-stability; exponential equation; normed space; normed algebra Citations:Zbl 0448.39003; Zbl 0846.39013 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Math. Inequal. 4, No. 1, 37--44 (2010; Zbl 1192.39026) Full Text: DOI Link