Abstract
Using the fixed point theorem we establish the Hyers-Ulam-Rassias stability of the generalized Pexider functional equation $$\frac{1}{\mid K\mid}\sum_{k\in K}f(x+k\cdot y)=g(x)+h(y),\;\;x,y\in E$$ 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 $(E,+)$.
Citation
B. Bouikhalene. E. Elqorachi. J. M. Rassias. "A fixed points approach to stability of the Pexider equation." Tbilisi Math. J. 7 (2) 95 - 110, 2014. https://doi.org/10.2478/tmj-2014-0021
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