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A fixed point approach to the stability of Pexider quadratic functional equation with involution. (English) Zbl 1201.39028

Summary: We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation \(f(x+y)+g(x+\sigma (y))=h(x)+k(y)\), for all \(x,y\in E\), where \(E\) is a normed space and \(\sigma :E\rightarrow E\) is an involution.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
54H25 Fixed-point and coincidence theorems (topological aspects)
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