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arXiv · 1406.3624

A Fixed Points Approach to stability of the Pexider Equation

E. Elqorachi·John M. Rassias·B. Bouikhalene
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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 $(E,+)$.

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E. Elqorachi, John M. Rassias, B. Bouikhalene. 2014-06-13. A Fixed Points Approach to stability of the Pexider Equation. https://arxiv.org/abs/1406.3624

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