Cădariu, Liviu; Moslehian, Mohammad Sal; Radu, Viorel An application of Banach’s fixed point theorem to the stability of a general functional equation. (English) Zbl 1240.39058 An. Univ. Vest Timiș., Ser. Mat.-Inform. 47, No. 3, 21-26 (2009). Summary: Using the Banach fixed point theorem, we establish the stability of the functional equation \(f(z)=G(f(z),f(\varphi (z)))\), where \(f\) is an unknown function, under certain natural assumptions on functions \(G\) and \(\varphi\). Our main result slightly extends a known one of J. Baker. Cited in 1 ReviewCited in 6 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:Hyers-Ulam stability; Banach fixed point theorem; functional equation PDFBibTeX XMLCite \textit{L. Cădariu} et al., An. Univ. Vest Timiș., Ser. Mat.-Inform. 47, No. 3, 21--26 (2009; Zbl 1240.39058)