Analele Universitatii din Timisoara, Volume (47), No (3), Year (2009-12) , Pages (21-26)

Title : ( An application of Banach s fixed point theorem to the stability of a general functional equation )

Authors: L. Cadariu , Mohammad Sal Moslehian , V. Radu ,

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Abstract

Using the Banach ¯xed point theorem we establish the stability of the functional equation f(z) = G¡f(z); f( (z))¢, where f is an unknown function, under certain natural assump- tions on functions G and . Our main result is seen to slightly extend a known one of J. Baker.

Keywords

Hyers{Ulam stability; ¯xed point; Banach ¯xed point theorem.