Bouikhalene, B.; Elqorachi, E.; Rassias, J. M. A fixed points approach to stability of the Pexider equation. (English) Zbl 1307.39016 Tbil. Math. J. 7, No. 2, 95-110 (2014). Summary: Using the fixed point theorem we establish the Hyers-Ulam-Rassias stability of the generalized Pexider functional equation \[ \frac{1}{|K|}\sum_{k\in K}f(x+k\cdot y)=g(x)+h(y), \quad x, y \in E, \] from a normed space \(E\) into a complete \(\beta\)-normed space \(F\), where \(K\) is a finite abelian subgroup of the automorphism group of the group \((E, +)\). Cited in 3 Documents MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges Keywords:fixed point method; Hyers-Ulam-Rassias stability; Pexider functional equation; normed space; group PDFBibTeX XMLCite \textit{B. Bouikhalene} et al., Tbil. Math. J. 7, No. 2, 95--110 (2014; Zbl 1307.39016) Full Text: DOI arXiv References: [1] [1] M. 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